From roots-in@roots-l.rootsweb.com Wed Jul 5 16:13:46 2006 Received: from mail.rootsweb.com (mail.rootsweb.com [192.168.65.34]) by admin.rootsweb.com (8.12.8/8.12.8) with ESMTP id k65MDkjb018026; Wed, 5 Jul 2006 16:13:46 -0600 Received: from roots-l.rootsweb.com (roots-l.rootsweb.com [66.43.16.22]) by mail.rootsweb.com (8.13.4/8.13.4) with ESMTP id k65MDgn5021734 for ; Wed, 5 Jul 2006 16:13:43 -0600 Received: from roots-l.rootsweb.com (roots-l [127.0.0.1]) by roots-l.rootsweb.com (8.12.10/8.12.10) with ESMTP id k65JaTFI023349 for ; Wed, 5 Jul 2006 15:36:29 -0400 Received: (from roots-in@localhost) by roots-l.rootsweb.com (8.12.10/8.12.8/Submit) id k65JaTZV023348 for roots-approved@rootsweb.com; Wed, 5 Jul 2006 15:36:29 -0400 Received: from lists5.rootsweb.com (lists5.rootsweb.com [66.43.27.41]) by roots-l.rootsweb.com (8.12.10/8.12.10) with SMTP id k65DpwFI022677 for ; Wed, 5 Jul 2006 09:51:58 -0400 Received: (from slist@localhost) by lists5.rootsweb.com (8.12.8/8.12.8) id k65GT1Md023773 for roots-in@roots-l.rootsweb.com; Wed, 5 Jul 2006 10:29:01 -0600 X-Envelope-From: neal4@comcast.net Wed Jul 5 10:29:00 2006 Received: from mail.rootsweb.com (mail.rootsweb.com [192.168.65.34]) by admin.rootsweb.com (8.12.8/8.12.8) with ESMTP id k65GT0jb023761 for ; Wed, 5 Jul 2006 10:29:00 -0600 Received: from sccrmhc12.comcast.net (sccrmhc12.comcast.net [204.127.200.82]) by mail.rootsweb.com (8.13.4/8.13.4) with ESMTP id k65GSvTv020234 for ; Wed, 5 Jul 2006 10:28:58 -0600 Received: from wd080a (c-67-175-229-124.hsd1.il.comcast.net[67.175.229.124]) by comcast.net (sccrmhc12) with SMTP id <2006070516285301200cr4kae>; Wed, 5 Jul 2006 16:28:53 +0000 Message-Id: <3.0.3.32.20060705112824.013381d0@mail.comcast.net> X-Sender: neal4@mail.comcast.net X-Mailer: QUALCOMM Windows Eudora Pro Version 3.0.3 (32) Date: Wed, 05 Jul 2006 11:28:24 -0500 To: ROOTS-L@rootsweb.com From: Neal Underwood In-Reply-To: <200607042151.k64LpfRX016227@lists5.rootsweb.com> Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" X-Scanned-By: MIMEDefang 2.52 on 192.168.65.34 X-Scanned-By: MIMEDefang 2.52 on 192.168.65.34 Sender: roots-in@roots-l.rootsweb.com Subject: [ROOTS-L] RE: the shallow roots of our family tree Something doesn't look right with the numbers here. The number of ancestors at each generation is calculated by the formula 2^(n-1). (The caret ^ represents the exponent function.) The posted calculation seems to go astray at generation 15 where is should be 16,384. Generation 16: 32,768; 17: 65,536; 18: 131,072; ... 32: 2,147,483,648; 33: 4,294,967,296. > >X-Message: #2 >Date: Tue, 4 Jul 2006 12:03:09 EDT >From: LOISTUR@aol.com >Subject: RE: the shallow roots of our family tree > >I tried working it out and came up with the number of people I descend from >in BC, give or take some years due to different ages of parents when giving >birth. Maybe some mathematician can tell me if I'm in the right ballpark. It >really isn't important since I think we all descend from Adam and Eve. > > > >1: 1 my great granddaughter >2: 2 parents (my granddaughter) >3: 4 grandparents (one of which is my daughter) >4: 8 great grandparents (one of which is me) >5: 16 gg grandparents >6: 32 ggg grandparents >7: 64 gggg grandparents >8: 128 ggggg grandparents >9: 256 gggggg grandparents >10: 512 ggggggg grandparents about 1700 AD >11: 1,024 gggggggg grandparents >12: 2,048 ggggggggg grandparents >13: 4,096 gggggggggg grandparents >14: 8,192 ggggggggggg grandparents >15: 16,184 gggggggggggg grandparents >16: 32,368 ggggggggggggg grandparents >17: 64,736 gggggggggggggg grandparents >18: 129,472 ggggggggggggggg grandparents >19: 258,944 gggggggggggggggg grandparents >20: 517,888 ggggggggggggggggg grandparents about 1400 AD >21: 1035,776 gggggggggggggggggg grandparents >22: 2071,552 ggggggggggggggggggg grandparents >23: 4143,104 gggggggggggggggggggg grandparents >24: 8286.208 ggggggggggggggggggggg grandparents >25: 16,572,416 gggggggggggggggggggggg grandparents >26: 33,144,832 ggggggggggggggggggggggg grandparents >27: 66,289,664 gggggggggggggggggggggggg grandparents >28: 132,579,328 ggggggggggggggggggggggggg grandparents >29: 265,158,656 gggggggggggggggggggggggggg grandparents >30: 530,317,312 ggggggggggggggggggggggggggg grandparents >31: 1,060,634,624 gggggggggggggggggggggggggggg grandparents >32: 2,121,269,248 ggggggggggggggggggggggggggggg grandparents >33: 4,242,538,496 gggggggggggggggggggggggggggggg grandparents BC >Lois Selby Turner > >