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A084786
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Row sums of the triangle (A084783) and the differences of the main diagonal (A084785) and the first column (A084784).
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3
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1, 3, 10, 41, 211, 1354, 10620, 99327, 1081744, 13443065, 187538132, 2899087774, 49149083790, 906169148064, 18044322039456, 385825735367745, 8814867042465387, 214270073007359704, 5520898403200292418
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| In the triangle (A084783), the diagonal (A084785) is the self-convolution of the first column (A084784) and the row sums (this sequence) gives the differences of the diagonal and the first column.
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PROG
| (PARI) A = matrix(25, 25); A[1, 1] = 1; rs = 1; print(1); for (n = 2, 25, sc = sum (i = 2, n - 1, A[i, 1]*A[n + 1 - i, 1]); A[n, 1] = rs - sc; rs = A[n, 1]; for (k = 2, n, A[n, k] = A[n, k - 1] + A[n - 1, k - 1]; rs += A[n, k]); print(rs)); (Wasserman)
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CROSSREFS
| Cf. A084783, A084784, A084785.
Sequence in context: A030942 A030855 A030954 * A156170 A009329 A009364
Adjacent sequences: A084783 A084784 A084785 * A084787 A084788 A084789
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Jun 13 2003
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EXTENSIONS
| More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jan 06 2005
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