cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A140505 Second differences of Jacobsthal sequence A001045, pairs with even and odd indices swapped.

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%I A140505 #3 Mar 30 2012 18:51:58
%S A140505 2,-1,4,0,12,4,44,20,172,84,684,340,2732,1364,10924,5460,43692,21844,
%T A140505 174764,87380,699052,349524,2796204,1398100,11184812,5592404,44739244,
%U A140505 22369620,178956972,89478484,715827884,357913940,2863311532,1431655764,11453246124
%N A140505 Second differences of Jacobsthal sequence A001045, pairs with even and odd indices swapped.
%C A140505 The second differences are -1, 2, 0, 4, 4, 12, 20, 44, ... (-1)^(n+1)*A084247(n), essentially A097073, which are listed here with -1 <=> 2, 0 <=> 4 etc. swapped in pairs.
%F A140505 a(n) = 4*A092808(n-2), n>1.
%F A140505 a(n+1) - 2a(n) = (-1)^n*A140504(n).
%F A140505 O.g.f.: (2+x-5x^2)/[(1+x)(1-2x)(1+2x)]. - _R. J. Mathar_, Jul 08 2008
%K A140505 sign,less
%O A140505 0,1
%A A140505 _Paul Curtz_, Jun 30 2008
%E A140505 Edited by _R. J. Mathar_, Jul 08 2008