A083062 -id:A083062 - cp's OEIS frontend

A083063 a(n) = (n+1)^(n-1)/(n+2) + (-1)^n/(n+2).

1, 0, 1, 3, 21, 185, 2101, 29127, 478297, 9090909, 196495641, 4762874171, 128011456717, 3779594158353, 121637191772461, 4238682002231055, 159023502861656433, 6391554268241802725, 274019342889240109297

Offset: 0

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Paul Barry, Apr 20 2003

easy
nonn

Cf. A083062, A081216, A081209.

[abs(gaussian_binomial(n,1,-(n+2))) for n in range(-1,18)] # Zerinvary Lajos, May 31 2009

A128897 a(n) = ((2n)^(2n-1)+1)/(2n+1).

Original entry on oeis.org

1, 13, 1111, 233017, 90909091, 57154490053, 52914318216943, 67818912035696881, 115047976828352449051, 249660952380952380952381, 674758650917429955329341351, 2222892961417140207415135788073

Offset: 1

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Alexander Adamchuk, Apr 20 2007

nonn

Cf. A083062 ((n+1)^n/(n+2) - (-1)^n/(n+2)).

a(n) = ((2n)^(2n-1)+1)/(2n+1). a(n) = A083062(2n-1).

cp's OEIS Frontend

A083063 a(n) = (n+1)^(n-1)/(n+2) + (-1)^n/(n+2).

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A128897 a(n) = ((2n)^(2n-1)+1)/(2n+1).

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