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 A113088 Triangle T, read by rows, equal to the matrix square of triangle A113084, which satisfies the recurrence: A113084(n,k) = [A113084^3](n-1,k-1) + [A113084^3](n-1,k). 2
 1, 2, 1, 10, 8, 1, 114, 118, 26, 1, 2970, 3668, 1108, 80, 1, 182402, 257122, 96416, 9964, 242, 1, 27392682, 42821472, 18871894, 2501468, 89182, 728, 1, 10390564242, 17650889358, 8826033518, 1412198686, 65914154, 799714, 2186, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..35. EXAMPLE Triangle begins: 1; 2,1; 10,8,1; 114,118,26,1; 2970,3668,1108,80,1; 182402,257122,96416,9964,242,1; 27392682,42821472,18871894,2501468,89182,728,1; ... PROG (PARI) {T(n, k)=local(M=matrix(n+1, n+1)); for(r=1, n+1, for(c=1, r, M[r, c]=if(r==c, 1, if(c>1, (M^3)[r-1, c-1])+(M^3)[r-1, c]))); return((M^2)[n+1, k+1])} CROSSREFS Cf. A113084, A113081. Sequence in context: A122017 A219900 A136233 * A060694 A217108 A127259 Adjacent sequences: A113085 A113086 A113087 * A113089 A113090 A113091 KEYWORD nonn,tabl AUTHOR Paul D. Hanna, Oct 14 2005 STATUS approved

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Last modified September 14 21:48 EDT 2024. Contains 375929 sequences. (Running on oeis4.)