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A077595 Numerator of integral from 0 to 1 of (1 + x^2)^n, in lowest terms. 2
1, 4, 28, 96, 1328, 4672, 33472, 121856, 3597056, 13417472, 33655808, 127508480, 5829259264, 22308732928, 171393728512, 660468137984, 40831182635008, 22589996269568, 175323994652672, 681560447647744, 10614717931323392 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..20.

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}]]

a[n_] := Hypergeometric2F1[-n, 1/2, 3/2, -1]

Table[Numerator[a[n]], {n, 0, 20}] (* Gerry Martens, Aug 09 2015 *)

PROG

(PARI) {a(n) = if( n<0, 0, numerator( subst( intformal((1 + x^2)^n), x, 1)))}

CROSSREFS

Cf. A076729.

Sequence in context: A296015 A187452 A173296 * A201243 A092712 A202964

Adjacent sequences:  A077592 A077593 A077594 * A077596 A077597 A077598

KEYWORD

nonn

AUTHOR

Michael Somos, Nov 06 2002

STATUS

approved

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Last modified March 23 12:43 EDT 2019. Contains 321430 sequences. (Running on oeis4.)