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 A130470 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. 3
 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; text; internal format)
 OFFSET 1,3 LINKS EXAMPLE Antidiagonal starting at T(7,1) is 720, 48, 6, 1, so a(7) = 775. 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] ]; CROSSREFS Cf. A130469 (T read by rows), A129867 (row sums of T), A130471 (first differences). Sequence in context: A058378 A063839 A192744 * A275166 A182117 A207828 Adjacent sequences:  A130467 A130468 A130469 * A130471 A130472 A130473 KEYWORD nonn AUTHOR Klaus Brockhaus, May 28 2007 STATUS approved

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Last modified December 8 00:04 EST 2021. Contains 349590 sequences. (Running on oeis4.)