id:A077595 - OEIS Search Results

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Numerator of integral from 0 to 1 of (1+x^2)^n, in lowest terms.

+0
2

1, 4, 28, 96, 1328, 4672, 33472, 121856, 3597056, 13417472, 33655808, 127508480, 5829259264, 22308732928, 171393728512, 660468137984, 40831182635008, 22589996269568, 175323994652672, 681560447647744, 10614717931323392 (list; graph; listen)

	OFFSET	`0,2`
	EXAMPLE	`For n=3 the integral is 96/35, so a(n) = 96.`
	MATHEMATICA	`a[n_] := Numerator[Integrate[(1+x x)^n, {x, 0, 1}]]`
	PROGRAM	`(PARI) a(n)=if(n<0, 0, numerator(subst(intformal((1+x^2)^n), x, 1)))`
	CROSSREFS	`Cf. A076729.` `Sequence in context: A153784 A030117 A005634 this_sequence A092712 A058227 A131459` `Adjacent sequences: A077592 A077593 A077594 this_sequence A077596 A077597 A077598`
	KEYWORD	`nonn`
	AUTHOR	`Michael Somos Nov 06 2002`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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