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 A067410 Triangle with columns built from certain power sequences. 10
 1, 2, 1, 4, 3, 1, 8, 12, 4, 1, 16, 48, 24, 5, 1, 32, 192, 144, 40, 6, 1, 64, 768, 864, 320, 60, 7, 1, 128, 3072, 5184, 2560, 600, 84, 8, 1, 256, 12288, 31104, 20480, 6000, 1008, 112, 9, 1, 512, 49152, 186624, 163840, 60000, 12096, 1568, 144, 10, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Indranil Ghosh, Rows 0..125, flattened FORMULA a(n, m) = 1 if n = m; a(n, m) = (m+2)*(2*(m+1))^(n-m-1) if n > m >= 0. G.f. for column m: (x^m)*(1-m*x)/(1-2*(m+1)*x). EXAMPLE Triangle starts: 1; 2, 1; 4, 3, 1; 8, 12, 4, 1; ... MATHEMATICA A[n_, m_]:=If[n==m, 1, (m+2)(2(m+1))^(n-m-1)]; Flatten[Table[A[n, m], {n, 0, 9}, {m, 0, n}]] (* Stefano Spezia, Sep 30 2022 *) CROSSREFS Cf. A009998 (triangle built from powers of (m+1)), A067402. Columns m=0..8 are A000079, A002001, A067411, A067412, A090019, A067413, A067414, A067415, A067416. Sequence in context: A051129 A319075 A264871 * A213947 A348482 A188403 Adjacent sequences: A067407 A067408 A067409 * A067411 A067412 A067413 KEYWORD nonn,easy,tabl AUTHOR Wolfdieter Lang, Jan 25 2002 STATUS approved

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Last modified January 26 17:20 EST 2023. Contains 359833 sequences. (Running on oeis4.)