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A084097 Square array read by antidiagonals whose rows have e.g.f. exp(x)cosh(sqrt(k)x), k>=0. 0
1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 4, 1, 1, 1, 4, 7, 8, 1, 1, 1, 5, 10, 17, 16, 1, 1, 1, 6, 13, 28, 41, 32, 1, 1, 1, 7, 16, 41, 76, 99, 64, 1, 1, 1, 8, 19, 56, 121, 208, 239, 128, 1, 1, 1, 9, 22, 73, 176, 365, 568, 577, 256, 1, 1, 1, 10, 25, 92, 241, 576, 1093, 1552, 1393, 512, 1 (list; table; graph; refs; listen; history; internal format)
OFFSET

0,9

COMMENTS

Rows include A011782, A001333, A026150, A046717, A002533. Rows are the binomial transforms of expansions of cosh(sqrt(k)x),k>=0.

EXAMPLE

Rows begin

1 1 1 1 1 ...

1 1 2 4 8 ...

1 1 3 7 17 ...

1 1 4 10 28 ...

1 1 5 13 41 ...

CROSSREFS

Sequence in context: A126347 A057001 A173072 * A168377 A122867 A124775

Adjacent sequences:  A084094 A084095 A084096 * A084098 A084099 A084100

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 11 2003

EXTENSIONS

Edited by N. J. A. Sloane, Jul 14 2010

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.