The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A373627 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A373627

Expansion of 1 / ( (1 - 8*x^4) * (1 - x/(1 - 8*x^4)^(1/4)) ).
(history; published version)

#10 by Michael De Vlieger at Tue Jun 11 15:49:34 EDT 2024

STATUS

reviewed

approved

#9 by Hugo Pfoertner at Tue Jun 11 15:46:33 EDT 2024

STATUS

proposed

reviewed

#8 by Seiichi Manyama at Tue Jun 11 12:35:56 EDT 2024

STATUS

editing

proposed

#7 by Seiichi Manyama at Tue Jun 11 12:33:48 EDT 2024

FORMULA

a(4*n) = 9^n for n > = 0.

#6 by Seiichi Manyama at Tue Jun 11 12:25:07 EDT 2024

FORMULA

a(4*n) = 9^n for n > 0.

a(n) = Sum_{k=0..floor(n/4)} 8^k * binomial(n/4,k).

a(n) == 1 (mod 2).

#5 by Seiichi Manyama at Tue Jun 11 12:24:27 EDT 2024

DATA

1, 1, 1, 1, 9, 11, 13, 15, 81, 109, 141, 177, 729, 1041, 1429, 1901, 6561, 9759, 13981, 19419, 59049, 90483, 133893, 192327, 531441, 832911, 1264173, 1865539, 4782969, 7628799, 11816853, 17828163, 43046721, 69620541, 109646397, 168500385, 387420489, 633634769

#4 by Seiichi Manyama at Tue Jun 11 12:23:56 EDT 2024

PROG

(PARI) a(n) = sum(k=0, n\4, 8^k*binomial(n/4, k));

CROSSREFS

Cf. A373509, A373583.

#3 by Seiichi Manyama at Tue Jun 11 12:18:27 EDT 2024

CROSSREFS

Cf. A373509.

#2 by Seiichi Manyama at Tue Jun 11 12:18:11 EDT 2024

NAME

allocated for Seiichi Manyama

Expansion of 1 / ( (1 - 8*x^4) * (1 - x/(1 - 8*x^4)^(1/4)) ).

DATA

1, 1, 1, 1, 9, 11, 13, 15, 81, 109, 141, 177, 729, 1041, 1429, 1901, 6561, 9759, 13981, 19419, 59049, 90483, 133893, 192327

OFFSET

0,5

KEYWORD

allocated

nonn

AUTHOR

Seiichi Manyama, Jun 11 2024

STATUS

approved

editing

#1 by Seiichi Manyama at Tue Jun 11 12:18:11 EDT 2024

NAME

allocated for Seiichi Manyama

KEYWORD

allocated

STATUS

approved