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A135852 A007318 * A103516 as a lower triangular matrix. 3
1, 3, 2, 8, 4, 3, 20, 6, 9, 4, 48, 8, 18, 16, 5, 112, 10, 30, 40, 25, 6, 256, 12, 45, 80, 75, 36, 7, 576, 14, 63, 140, 175, 126, 49, 8, 1280, 16, 84, 224, 350, 336, 196, 64, 9, 2816, 18, 108, 336, 630, 756, 588, 288, 81, 10 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row sums = A099035: (1, 5, 15, 39, 95, 223, ...).

Left column = A001792.

A135853 = A103516 * A007318.

Binomial transform of triangle A103516.

LINKS

G. C. Greubel, Table of n, a(n) for the first 50 rows

FORMULA

T(n, 1) = (n + 1)*2^(n - 2), T(n, n) = n, T(n, k) = k*binomial(n - 1, k - 1). - G. C. Greubel, Dec 07 2016

EXAMPLE

First few rows of the triangle are:

    1;

    3,  2;

    8,  4,  3;

   20,  6,  9,  4;

   48,  8, 18, 16,  5;

  112, 10, 30, 40, 25,  6;

  256, 12, 45, 80, 75, 36,  7;

  ...

MATHEMATICA

T[n_, 1] := (n + 1)*2^(n - 2); T[n_, n_] := n; T[n_, k_] := k*Binomial[n - 1, k - 1]; Table[T[n, k], {n, 1, 12}, {k, 1, n}]//Flatten (* G. C. Greubel, Dec 07 2016 *)

CROSSREFS

Cf. A001792, A007318, A099035, A103516, A135853.

Sequence in context: A019666 A144189 A110938 * A191731 A143515 A082333

Adjacent sequences:  A135849 A135850 A135851 * A135853 A135854 A135855

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Dec 01 2007

STATUS

approved

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Last modified August 22 05:46 EDT 2019. Contains 326172 sequences. (Running on oeis4.)