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A143129 Triangle read by rows, T(n,k) = sum {j=k..n} A000292(j) = A000012 * (A000292 * 0^(n-k)) * A000012, 1<=k<=n. +0
1
1, 5, 4, 15, 14, 10, 35, 34, 30, 20, 70, 69, 65, 55, 35, 126, 125, 121, 111, 91, 56, 210, 209, 205, 195, 175, 140, 84, 330, 329, 325, 315, 295, 260, 204, 120, 495, 494, 490, 480, 460, 425, 369, 285, 165, 715, 714, 710, 700, 680, 645, 589, 505, 385, 220, 1001, 1000 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Row sums = A034263: (1, 9, 39, 119, 294,...).

FORMULA

Triangle read by rows, T(n,k) = sum {j=k..n} A000292(j) = A000012 * (A000292 * 0^(n-k)) * A000012, 1<=k<=n

EXAMPLE

First few rows of the triangle =

1;

5, 4;

15, 14, 10;

35, 34, 30, 20;

70, 69, 65, 55, 35;

126, 125, 121, 111, 91, 56;

210, 209l 205, 195, 175, 140, 84;

...

T(5,3) = 65 = (10 + 20 + 35), where A000292 = (1, 4, 10, 20, 35,...)

CROSSREFS

Cf. A000292, A034263.

Sequence in context: A107984 A133178 A154225 this_sequence A100791 A056883 A006747

Adjacent sequences: A143126 A143127 A143128 this_sequence A143130 A143131 A143132

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 26 2008

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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