The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A179089 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A179089

a(n) = (1/n^2) * Sum_{k=0..n-1} (2k+1)*T_k^2(-3)^(n-1-k), where T_0, T_1, ... are central trinomial coefficients given by A002426.
(history; published version)

#29 by Peter Luschny at Sun Nov 13 14:31:05 EST 2022

STATUS

reviewed

approved

#28 by Vaclav Kotesovec at Sun Nov 13 13:01:06 EST 2022

STATUS

proposed

reviewed

#27 by Vaclav Kotesovec at Sun Nov 13 13:01:02 EST 2022

STATUS

editing

proposed

#26 by Vaclav Kotesovec at Sun Nov 13 13:00:47 EST 2022

MAPLE

A002426 := n -> simplify(GegenbauerC(n, -n, -1/2)); seq( (A002426(n)+A002426(n-1))*(3*A002426(n-1)-A002426(n))/4, n=1..20); - _# _Mark van Hoeij_, Nov 13 2022

STATUS

proposed

editing

#25 by Mark van Hoeij at Sun Nov 13 12:47:12 EST 2022

STATUS

editing

proposed

#24 by Mark van Hoeij at Sun Nov 13 12:44:53 EST 2022

COMMENTS

The G.f and formula for a(n) in the formula section below, either formula implies that a(n) is an integer. - Mark van Hoeij, Nov 13 2022

#23 by Mark van Hoeij at Sun Nov 13 12:43:57 EST 2022

COMMENTS

The G.f and a(n) in the formula section below, either formula implies that a(n) is an integer. - Mark van Hoeij, Nov 13 2022

FORMULA

a(n) = (A002426(n)+A002426(n-1))*(3*A002426(n-1)-A002426(n))/4. - Mark van Hoeij, Nov 13 2022

MAPLE

A002426 := n -> simplify(GegenbauerC(n, -n, -1/2)); seq( (A002426(n)+A002426(n-1))*(3*A002426(n-1)-A002426(n))/4, n=1..20); - Mark van Hoeij, Nov 13 2022

STATUS

approved

editing

#22 by Peter Luschny at Fri Nov 11 07:16:35 EST 2022

STATUS

reviewed

approved

#21 by Peter Luschny at Fri Nov 11 03:58:38 EST 2022

STATUS

proposed

reviewed

#20 by Peter Luschny at Fri Nov 11 03:58:35 EST 2022

STATUS

editing

proposed