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A110616 A convolution triangle of numbers based on A001764. +0
3
1, 1, 1, 3, 2, 1, 12, 7, 3, 1, 55, 30, 12, 4, 1, 273, 143, 55, 18, 5, 1, 1428, 728, 273, 88, 25, 6, 1, 7752, 3876, 1428, 455, 130, 33, 7, 1, 43263, 21318, 7752, 2448, 700, 182, 42, 8, 1, 246675, 120175, 43263, 13566, 3876, 1020, 245, 52, 9, 1 (list; table; graph; listen)
OFFSET

0,4

COMMENT

Reflected version of A069269. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Sep 27 2006

FORMULA

T(n, k) = Sum_{j, j>=0} T(n-1, k-1+j)*A000108(j); T(0, 0) = 1; T(n, k) = 0 if k<0 or if k>n.

EXAMPLE

Triangle begins:

1;

1, 1;

3, 2, 1;

12, 7, 3, 1;

55, 30, 12, 4, 1;

273, 143, 55, 18, 5, 1;

1428, 728, 273, 88, 25, 6, 1;

7752, 3876, 1428, 455, 130, 33, 7, 1;

43263, 21318, 7752, 2448, 700, 182, 42, 8, 1;

246675, 120175, 43263, 13566, 3876, 1020, 245, 52, 9, 1 ;...

CROSSREFS

Cf. Successive columns : A001764, A006013, A001764, A006629, A102893, A006630, A102594, A006631; Row sums :A098746; see also A092276.

Adjacent sequences: A110613 A110614 A110615 this_sequence A110617 A110618 A110619

Sequence in context: A117442 A118435 A115085 this_sequence A059418 A092582 A068440

KEYWORD

nonn,tabl

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 14 2005, Jun 15 2007

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.


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