

A130470


Antidiagonal sums of triangular array T: T(j,k) = k*(jk)! 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
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OFFSET

1,3


LINKS

Table of n, a(n) for n=1..21.


EXAMPLE

Antidiagonal starting at T(7,1) is 720, 48, 6, 1, so a(7) = 775.


PROG

(MAGMA) m:=21; T:=[ [ k*Factorial(jk): k in [1..j1] ] cat [ 1 ]: j in [1..m] ]; [ &+[ T[jk+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



