The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A369262 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A369262

Expansion of (1/x) * Series_Reversion( x * (1-x) / (1+x^2)^3 ).
(history; published version)

#17 by Alois P. Heinz at Thu Feb 15 04:15:34 EST 2024

STATUS

proposed

approved

#16 by Seiichi Manyama at Thu Feb 15 04:11:11 EST 2024

STATUS

editing

proposed

#15 by Seiichi Manyama at Thu Feb 15 04:11:08 EST 2024

LINKS

P. Bala, <a href="/A251592/a251592.pdf">Fractional iteration of a series inversion operator</a>

STATUS

proposed

editing

#14 by Seiichi Manyama at Thu Feb 15 03:28:00 EST 2024

STATUS

editing

proposed

#13 by Seiichi Manyama at Wed Feb 14 21:43:27 EST 2024

FORMULA

a(n) = (1/(n+1)) * [x^n] ( 1/(1-x) * (1+x^2)^3 )^(n+1) / (n+1). - Seiichi Manyama, Feb 14 2024

#12 by Seiichi Manyama at Wed Feb 14 21:22:24 EST 2024

FORMULA

a(n) = [x^n] ( 1/(1-x) * (1+x^2)^3 )^(n+1) / (n+1). - Seiichi Manyama, Feb 14 2024

STATUS

approved

editing

#11 by Hugo Pfoertner at Thu Jan 18 06:54:45 EST 2024

STATUS

reviewed

approved

#10 by Joerg Arndt at Thu Jan 18 06:37:27 EST 2024

STATUS

proposed

reviewed

#9 by Seiichi Manyama at Thu Jan 18 05:54:45 EST 2024

STATUS

editing

proposed

#8 by Seiichi Manyama at Thu Jan 18 05:34:22 EST 2024

FORMULA

a(n) = (1/(n+1)) * Sum_{k=0..floor(n/2)} binomial(3*n+3,k) * binomial(2*n-2*k,n-2*k).