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 A067402 Triangle with columns built from certain power sequences. 10
 1, 1, 1, 1, 3, 1, 1, 12, 5, 1, 1, 48, 45, 7, 1, 1, 192, 405, 112, 9, 1, 1, 768, 3645, 1792, 225, 11, 1, 1, 3072, 32805, 28672, 5625, 396, 13, 1, 1, 12288, 295245, 458752, 140625, 14256, 637, 15, 1, 1, 49152, 2657205, 7340032, 3515625, 513216, 31213 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS The column sequences (without leading 0's)give: A000012, A002001, A067403-A067409 for m=0..8. The tenth column (m=9) gives [1, 19, 1900, 190000,...]. LINKS Indranil Ghosh, Rows 0..125, flattened FORMULA a(n, m) = 1 if n=m; a(n, m)= (2*m+1)*(m+1)^(2*(n-m-1)) if n>m>=0, else 0. G.f. for column m: (x^m)*(1-x*m^2)/(1-x*(m+1)^2). EXAMPLE Triangle starts: {1}; {1,1}; {1,3,1}; {1,12,5,1}; ... CROSSREFS Cf. A009998 (triangle built from powers of (m+1)). Sequence in context: A168552 A111473 A234944 * A113340 A134523 A098778 Adjacent sequences:  A067399 A067400 A067401 * A067403 A067404 A067405 KEYWORD nonn,easy,tabl AUTHOR Wolfdieter Lang, Jan 25 2002 EXTENSIONS More terms from Larry Reeves (larryr(AT)acm.org), Jun 11 2002 STATUS approved

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Last modified August 3 00:25 EDT 2021. Contains 346429 sequences. (Running on oeis4.)