A069182 - OEIS

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A069182

a(1) = 2, a(2) = -32; a(n) = -16*a(n - 1) + 12*add(binomial(2*n - 2, 2*i)*a(i)*a(n - 1 - i), i = 1 .. n - 2).

2, -32, 800, -35840, 2508800, -246579200, 32614400000, -5594021888000, 1206137913344000, -319343506227200000, 101868334198292480000, -38531929483929190400000, 17052425131124169113600000, -8729129668569923688857600000, 5117793695169522496962560000000

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

REFERENCES

E. Dintzl, Über die Zahlen im Koerper k(sqrt(-2)), welche den Bernoulli'schen Zahlen analog sind, Sitz. K. Akad. Wiss. Wien, Math.-Naturw. Klasse, 108 (1909), 1-29.

LINKS

Table of n, a(n) for n=1..15.

MAPLE

A069182 := proc(n) option remember; if n=1 then 2 elif n=2 then -32 else -16*A069182(n-1)+12*add(binomial(2*n-2, 2*i)*A069182(i)*A069182(n-1-i), i=1..n-2); fi; end;

CROSSREFS

Sequence in context: A009517 A354382 A202408 * A333772 A012233 A321712

Adjacent sequences: A069179 A069180 A069181 * A069183 A069184 A069185

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Apr 13 2002

STATUS

approved