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A137251 Triangle T(n,k) read by rows: number of k X k triangular matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n. +0
1
1, 1, 1, 1, 3, 1, 1, 6, 7, 1, 1, 10, 26, 15, 1, 1, 15, 71, 98, 31, 1, 1, 21, 161, 425, 342, 63, 1, 1, 28, 322, 1433, 2285, 1138, 127, 1, 1, 36, 588, 4066, 11210, 11413, 3670, 255, 1, 1, 45, 1002, 10165, 44443, 79781, 54073, 11586, 511, 1, 1, 55, 1617, 23056, 150546 (list; table; graph; listen)
OFFSET

1,5

EXAMPLE

1

1,1

1,3,1

1,6,7,1

1,10,26,15,1

1,15,71,98,31,1

1,21,161,425,342,63,1

1,28,322,1433,2285,1138,127,1

CROSSREFS

Cf. (row sums)A022493.

Sequence in context: A133713 A008278 A056858 this_sequence A158359 A046716 A123354

Adjacent sequences: A137248 A137249 A137250 this_sequence A137252 A137253 A137254

KEYWORD

nonn,tabl

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 11 2008

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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