id:A077401 - OEIS Search Results

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Second member of Diophantine pair (m,k) that solves 7(m^2+m)=k^2+k; a(n)=k.

+0
4

0, 6, 14, 104, 231, 1665, 3689, 26543, 58800, 423030, 937118, 6741944, 14935095, 107448081, 238024409, 1712427359, 3793455456, 27291389670, 60457262894, 434949807368, 963522750855, 6931905528225, 15355906750793 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`G.f.: x(6+8x-6x^2-x^3)/((1-x)(1-16x^2+x^4)).` `a(n)=16a(n-2)+a(n-4)+7, n>=4.` `Let b(n) be A077400 then a(n)=(-1+sqrt(8b(n)+1))/2.`
	PROGRAM	`(PARI) a(n)=if(n<0, 0, polcoeff(x(6+8x-6x^2-x^3)/((1-x)(1-16x^2+x^4))+xO(x^n), n))`
	CROSSREFS	`Cf. A077399, A077400. The m values are in A077398.` `Sequence in context: A139257 A056842 A130263 this_sequence A158965 A013314 A019306` `Adjacent sequences: A077398 A077399 A077400 this_sequence A077402 A077403 A077404`
	KEYWORD	`nonn`
	AUTHOR	`Bruce Corrigan (scentman(AT)myfamily.com), Nov 05 2002`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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