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A130470
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Antidiagonal sums of triangular array T: T(j,k) = k*(j-k)! for k < j, T(j,k) = 1 for k = j; 1 <= k <= j.
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3
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1, 1, 3, 8, 29, 135, 775, 5302, 41841, 373349, 3711707, 40658196, 486383173, 6307963843, 88147345839, 1320249637490, 21098598196505, 358321619407137, 6444482754775171, 122360423398008784, 2445769875087993837
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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EXAMPLE
| Antidiagonal starting at T(7,1) is 720, 48, 6, 1, so a(7) = 775.
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PROG
| (MAGMA) m:=21; T:=[ [ k*Factorial(j-k): k in [1..j-1] ] cat [ 1 ]: j in [1..m] ]; [ &+[ T[j-k+1][k]: k in [1..(j+1) div 2] ]: j in [1..m] ];
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CROSSREFS
| Cf. A130469 (T read by rows), A129867 (row sums of T), A130471 (first differences).
Sequence in context: A058378 A063839 A192744 * A162054 A067354 A148877
Adjacent sequences: A130467 A130468 A130469 * A130471 A130472 A130473
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KEYWORD
| nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 28 2007
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