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A094526 Square array of binomial transforms read by antidiagonals. 1
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 5, 13, 13, 5, 1, 1, 6, 21, 34, 21, 6, 1, 1, 7, 31, 73, 73, 31, 7, 1, 1, 8, 43, 136, 185, 136, 43, 8, 1, 1, 9, 57, 229, 381, 381, 229, 57, 9, 1, 1, 10, 73, 358, 685, 826, 685, 358, 73, 10, 1, 1, 11, 91, 529, 1121, 1531 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Rows (and columns) are binomial transforms of [1,k,k(k-1),k(k-1)(k-2),0,0,...], k>=0. One of a family of arrays that converge to A088699.

LINKS

Table of n, a(n) for n=0..71.

FORMULA

Square array T(n, k) defined by T(n, k)=1+kn+k(k-1)n(n-1)/2+k(k-1)(k-2)n(n-1)(n-2)/6

EXAMPLE

Rows start

1,1,1,1,1,...

1,2,3,4,5,...

1,3,7,13,21,...

1,4,13,34,73,...

1,5,21,73,185,...

CROSSREFS

Cf. A094525.

Sequence in context: A114197 A108350 A086617 * A088699 A101515 A327913

Adjacent sequences:  A094523 A094524 A094525 * A094527 A094528 A094529

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, May 07 2004

STATUS

approved

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Last modified September 25 11:10 EDT 2022. Contains 356984 sequences. (Running on oeis4.)