id:A046194 - OEIS Search Results

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Heptagonal triangular numbers.

+0
4

1, 55, 121771, 5720653, 12625478965, 593128762435, 1309034909945503, 61496776341083161, 135723357520344181225, 6376108764003055554511, 14072069153115290487843091, 661087708807868029661744485 (list; graph; listen)

	OFFSET	`1,2`
	LINKS	`Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.`
	FORMULA	`The two bisections satisfy the same recurrence relation: a(n+2)=103682a(n+1)-a(n)+18144 or a(n+1)=51841a(n)+9072+2898(320a(n)^2+112a(n)+9)^0.5. The g.f. satisfies f(z)=(z+55z^2+18088z^3+18088z^4+55z^5+z^6)/((1-z^2)(1-103682z^2+z^4)=1z+55z^2+121771z^3+... - Richard Choulet (richardchoulet(AT)yahoo.fr), Sep 20 2007`
	CROSSREFS	`Cf. A039835, A046193.` `Sequence in context: A163036 A033512 A027580 this_sequence A093255 A115410 A036197` `Adjacent sequences: A046191 A046192 A046193 this_sequence A046195 A046196 A046197`
	KEYWORD	`nonn`
	AUTHOR	`Eric Weisstein (eric(AT)weisstein.com)`

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

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