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Search: id:A084783
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| A084783 |
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Triangle, read by rows, such that the diagonal (A084785) is the self-convolution of the first column (A084784) and the row sums (A084786) gives the differences of the diagonal and the first column. |
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+0
4
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| 1, 1, 2, 2, 3, 5, 6, 8, 11, 16, 25, 31, 39, 50, 66, 137, 162, 193, 232, 282, 348, 944, 1081, 1243, 1436, 1668, 1950, 2298, 7884, 8828, 9909, 11152, 12588, 14256, 16206, 18504, 77514, 85398, 94226, 104135, 115287, 127875, 142131, 158337, 176841, 877002
(list; table; graph; listen)
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OFFSET
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0,3
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FORMULA
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T(0, 0)=1, T(n, 0)=A084784(n), T(k, k)=A084785(k), T(n, k)=T(n, k-1)+T(n-1, k-1) for n>0, k>0.
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EXAMPLE
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Rows:
{1},
{1,2},
{2,3,5},
{6,8,11,16},
{25,31,39,50,66},
{137,162,193,232,282,348},
{944,1081,1243,1436,1668,1950,2298},
{7884,8828,9909,11152,12588,14256,16206,18504},
{77514,85398,94226,104135,115287,127875,142131,158337,176841},
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CROSSREFS
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Cf. A084784, A084785, A084786.
Adjacent sequences: A084780 A084781 A084782 this_sequence A084784 A084785 A084786
Sequence in context: A121081 A118399 A076571 this_sequence A129838 A032153 A116465
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 13 2003
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