id:A132833 - OEIS Search Results

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Largest terms a(n) forming a self-convolution of an integer sequence (A132834) such that: a(n) <= 3*a(n-1) for n>0 with a(0)=1.

+0
2

1, 2, 5, 14, 42, 126, 377, 1130, 3390, 10170, 30509, 91526, 274577, 823730, 2471190, 7413570, 22240710, 66722130, 200166390, 600499170, 1801497510, 5404492530, 16213477590, 48640432770, 145921298310, 437763894930, 1313291684789 (list; graph; listen)

	OFFSET	`0,2`
	PROGRAM	`(PARI) {a(n)=local(B=[1]); if(n==0, 1, for(k=1, n, t=3*a(k-1); B=concat(B, t); B[ #B]=t+1-denominator(Vec(Ser(B)^(1/2))[ #B]) )); B[n+1]}`
	CROSSREFS	`Cf. A132834 (square-root); A132831 (variant).` `Adjacent sequences: A132830 A132831 A132832 this_sequence A132834 A132835 A132836` `Sequence in context: A036766 A000660 A025274 this_sequence A092493 A080937 A054392`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Sep 07 2007`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

AT&T Labs Research