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.

A026085 a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2,3; |s(i) - s(i-1)| <= 1 for i >= 4, s(n) = 2. Also a(n) = T(n,n-2), where T is the array defined in A026082.

Original entry on oeis.org

4, 8, 27, 76, 226, 660, 1939, 5688, 16704, 49072, 144254, 424296, 1248728, 3677184, 10834416, 31939584, 94205772, 277997400, 820747275, 2424232956, 7163519202, 21176638868, 62626464319, 185276853192, 548326714720, 1623325361424
Offset: 4

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First differences of A026069.

Formula

Conjecture: (n+2)*a(n) +(-5*n-1)*a(n-1) +4*(n-4)*a(n-2) +8*(n-1)*a(n-3) +(-5*n+34)*a(n-4) +3*(-n+7)*a(n-5)=0. - R. J. Mathar, Jun 23 2013