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A094525 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, 28, 21, 6, 1, 1, 7, 31, 49, 49, 31, 7, 1, 1, 8, 43, 76, 89, 76, 43, 8, 1, 1, 9, 57, 109, 141, 141, 109, 57, 9, 1, 1, 10, 73, 148, 205, 226, 205, 148, 73, 10, 1, 11, 91, 193, 281 (list; table; graph; refs; listen; history; internal format)
OFFSET

0,5

COMMENTS

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

FORMULA

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

EXAMPLE

Rows start

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

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

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

1,4,13,28,29,...

1,5,21,49,89,...

CROSSREFS

Cf. A094526.

Sequence in context: A167172 A173075 A166293 * A130671 A114197 A108350

Adjacent sequences:  A094522 A094523 A094524 * A094526 A094527 A094528

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 07 2004

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.