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Revision History for A370474 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A370474 G.f. satisfies A(x) = 1 + x * A(x)^(3/2) * (1 + A(x)^(3/2)).
(history; published version)
#14 by Michael De Vlieger at Sun Mar 31 08:47:16 EDT 2024
STATUS

reviewed

approved

#13 by Joerg Arndt at Sun Mar 31 04:10:11 EDT 2024
STATUS

proposed

reviewed

#12 by Seiichi Manyama at Sun Mar 31 03:34:59 EDT 2024
STATUS

editing

proposed

#11 by Seiichi Manyama at Sun Mar 31 03:11:57 EDT 2024
FORMULA

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

#10 by Seiichi Manyama at Sun Mar 31 02:05:58 EDT 2024
CROSSREFS

Cf. A271469.

#9 by Seiichi Manyama at Sun Mar 31 02:01:23 EDT 2024
DATA

1, 2, 9, 54, 372, 2778, 21873, 178786, 1502649, 12904524, 112741664, 998871030, 8953443276, 81047485148, 739846170864, 6803054508702, 62954736555836, 585850907166084, 5479077065774682, 51470699845616004, 485456696541512442, 4595280949098247422

#8 by Seiichi Manyama at Sun Mar 31 02:00:42 EDT 2024
PROG

(PARI) a(n) = sum(k=0, n, binomial(n, k)*binomial(3*n/2+3*k/2+1, n)/(3*n/2+3*k/2+1));

CROSSREFS

Cf. A262441, A366400.

#7 by Seiichi Manyama at Sun Mar 31 01:57:43 EDT 2024
CROSSREFS

Cf. A006013, A370475.

#6 by Seiichi Manyama at Sun Mar 31 01:54:23 EDT 2024
NAME

allocated for Seiichi Manyama

G.f. satisfies A(x) = 1 + x * A(x)^(3/2) * (1 + A(x)^(3/2)).

DATA

1, 2, 9, 54, 372, 2778, 21873, 178786, 1502649, 12904524, 112741664, 998871030, 8953443276, 81047485148, 739846170864, 6803054508702, 62954736555836, 585850907166084

OFFSET

0,2

KEYWORD

allocated

nonn

AUTHOR

Seiichi Manyama, Mar 31 2024

STATUS

approved

editing

#5 by Seiichi Manyama at Sun Mar 31 01:54:23 EDT 2024
NAME

allocated for Seiichi Manyama

KEYWORD

recycled

allocated

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Last modified August 30 02:56 EDT 2024. Contains 375521 sequences. (Running on oeis4.)