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Number triangle (1,x)+(x,x^3) expressed in terms of Riordan arrays.

+0
2

1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 (list; table; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Row sums are periodic {1,2,1}. Diagonal sums are periodic {1,1,1,0}. Inverse is A115513.`
	FORMULA	`Column k has g.f. x^k+x^(3k+1); Number triangle T(n, k)=if(n=k, 1, 0) OR if(n=3k+1, 1, 0).`
	EXAMPLE	`Triangle begins` `1,` `1, 1,` `0, 0, 1,` `0, 0, 0, 1,` `0, 1, 0, 0, 1,` `0, 0, 0, 0, 0, 1,` `0, 0, 0, 0, 0, 0, 1,` `0, 0, 1, 0, 0, 0, 0, 1,` `0, 0, 0, 0, 0, 0, 0, 0, 1,` `0, 0, 0, 0, 0, 0, 0, 0, 0, 1,` `0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1,` `0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,` `0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,` `0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1,` `0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,` `0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,` `0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,` `0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,` `0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,` `0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,` `0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1`
	CROSSREFS	`Sequence in context: A096606 A128190 A128189 this_sequence A115513 A133080 A010815` `Adjacent sequences: A115509 A115510 A115511 this_sequence A115513 A115514 A115515`
	KEYWORD	`easy,nonn,tabl`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 23 2006`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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