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 A061897 Square table by antidiagonals of number of routes of length 2k+n on the sides of a 2n-gon from a point to its opposite point. 2
 1, 0, 2, 0, 0, 2, 0, 0, 4, 2, 0, 0, 8, 6, 2, 0, 0, 16, 18, 8, 2, 0, 0, 32, 54, 28, 10, 2, 0, 0, 64, 162, 96, 40, 12, 2, 0, 0, 128, 486, 328, 150, 54, 14, 2, 0, 0, 256, 1458, 1120, 550, 220, 70, 16, 2, 0, 0, 512, 4374, 3824, 2000, 858, 308, 88, 18, 2, 0, 0, 1024, 13122, 13056 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..70. FORMULA T(0, 0)=1; if n>0, T(n, 0)=2; if k>1, T(n, k)=T(n, k-1)*A061896(n, 1)-T(n, k-2)*A061896(n, 2)+T(n, k-3)*A061896(n, 3)-T(n, k-4)*A061896(n, 4)+...T(n, k-[n/2])*A061896(n, [n/2]); if 0>k T(n, k)=0. EXAMPLE Rows start 1, 0, 0, 0, 0, ... 2, 0, 0, 0, 0, ... 2, 4, 8, 16, 32, ... 2, 6, 18, 54, 162, ... 2, 8, 28, 96, 328, ... ... CROSSREFS Cf. A060995. Rows include A000007, A000038, A000079, A008776, A060995. Columns effectively (i.e. except for a small number of terms) include A040000, A005843, A028552. Sequence in context: A024164 A138805 A316400 * A047919 A272624 A271223 Adjacent sequences: A061894 A061895 A061896 * A061898 A061899 A061900 KEYWORD nonn,tabl AUTHOR Henry Bottomley, May 14 2001 STATUS approved

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Last modified November 29 17:03 EST 2023. Contains 367445 sequences. (Running on oeis4.)