The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A307644

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A307644

Number of partitions of n^4 into exactly n nonzero fourth powers.
(history; published version)

#10 by Vaclav Kotesovec at Tue Apr 23 02:53:06 EDT 2019

STATUS

editing

approved

#9 by Vaclav Kotesovec at Tue Apr 23 02:52:47 EDT 2019

EXTENSIONS

More terms a(20)-a(28) from Vaclav Kotesovec, Apr 20 2019

a(29)-a(37) from Vaclav Kotesovec, Apr 23 2019

#8 by Vaclav Kotesovec at Tue Apr 23 02:51:04 EDT 2019

DATA

1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 3, 0, 6, 0, 27, 13, 59, 390, 661, 4933, 9760, 49415, 101967, 341887, 702884, 2209559, 5361004, 15472531, 34165997, 82258594, 193682533, 490404772, 1210929426, 2725005202, 6283337761, 13672859806, 34906926846

KEYWORD

nonn,more,new

STATUS

approved

editing

#7 by Vaclav Kotesovec at Sat Apr 20 08:43:55 EDT 2019

STATUS

editing

approved

#6 by Vaclav Kotesovec at Sat Apr 20 08:43:42 EDT 2019

DATA

1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 3, 0, 6, 0, 27, 13, 59, 390, 661, 4933, 9760, 49415, 101967, 341887, 702884, 2209559, 5361004, 15472531

EXTENSIONS

More terms from Vaclav Kotesovec, Apr 20 2019

STATUS

approved

editing

#5 by Susanna Cuyler at Sat Apr 20 08:11:22 EDT 2019

STATUS

proposed

approved

#4 by Ilya Gutkovskiy at Fri Apr 19 22:35:19 EDT 2019

STATUS

editing

proposed

#3 by Ilya Gutkovskiy at Fri Apr 19 21:54:25 EDT 2019

NAME

allocated for Ilya GutkovskiyNumber of partitions of n^4 into exactly n nonzero fourth powers.

DATA

1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 3, 0, 6, 0, 27, 13, 59, 390, 661

OFFSET

0,12

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BiquadraticNumber.html">Biquadratic Number</a>

EXAMPLE

11^4 =

1^4 + 2^4 + 2^4 + 4^4 + 4^4 + 4^4 + 4^4 + 6^4 + 8^4 + 8^4 + 8^4 =

2^4 + 2^4 + 2^4 + 2^4 + 2^4 + 2^4 + 6^4 + 6^4 + 6^4 + 8^4 + 9^4 =

2^4 + 2^4 + 2^4 + 4^4 + 6^4 + 6^4 + 6^4 + 6^4 + 6^4 + 6^4 + 9^4,

so a(11) = 3.

CROSSREFS

Cf. A000583, A259793, A299169, A299195, A307643, A319435.

KEYWORD

allocated

nonn,more

AUTHOR

Ilya Gutkovskiy, Apr 19 2019

STATUS

approved

editing

#2 by Ilya Gutkovskiy at Fri Apr 19 21:54:25 EDT 2019

NAME

allocated for Ilya Gutkovskiy

KEYWORD

recycled

allocated

#1 by Russ Cox at Sun Jan 27 08:30:53 EST 2019

KEYWORD

recycled

STATUS

approved