id:A084097 - OEIS Search Results

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Square number array, read by antidiagonals.

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1

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; listen)

	OFFSET	`0,9`
	COMMENT	`Rows include A011782, A001333, A026150, A046717, A002533. Rows are the binomial transforms of expansions of cosh(sqrt(k)x),k>=0.`
	FORMULA	`Square number array whose rows have e.g.f. exp(x)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: A079415 A126347 A057001 this_sequence A122867 A124775 A140075` `Adjacent sequences: A084094 A084095 A084096 this_sequence A084098 A084099 A084100`
	KEYWORD	`easy,nonn,tabl`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 11 2003`

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.

AT&T Labs Research