The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A279760

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A279760

Expansion of Product_{k>=1} 1/(1 - x^(prime(k)^3)).
(history; published version)

#12 by Bruno Berselli at Thu Aug 31 04:36:16 EDT 2017

STATUS

reviewed

approved

#11 by Joerg Arndt at Thu Aug 31 04:23:59 EDT 2017

STATUS

proposed

reviewed

#10 by Antti Karttunen at Thu Aug 31 03:29:37 EDT 2017

STATUS

editing

proposed

#9 by Antti Karttunen at Thu Aug 31 03:23:56 EDT 2017

EXAMPLE

For n = 152, there are two solutions: 152 = 5^3 + 3^3 = 19 * 2^3, thus a(152) = 2. This is also the first point where the sequence obtains value larger than one. - Antti Karttunen, Aug 31 2017

Discussion

Thu Aug 31

03:25

Antti Karttunen: If somebody wants to compute a larger b-file by more sophisticated means (e.g., using the given gf), then please do.

#8 by Antti Karttunen at Thu Aug 31 03:17:42 EDT 2017

LINKS

Antti Karttunen, <a href="/A279760/b279760.txt">Table of n, a(n) for n = 0..2055</a>

PROG

(PARI) A279760(n, m=8) = { my(s=0, p); if(!n, 1, for(c=m, n, if((ispower(c, 3, &p)&&isprime(p)), s+=A279760(n-c, c))); (s)); }; \\ Antti Karttunen, Aug 31 2017

STATUS

approved

editing

#7 by N. J. A. Sloane at Mon May 08 00:27:08 EDT 2017

STATUS

editing

approved

#6 by N. J. A. Sloane at Mon May 08 00:27:06 EDT 2017

LINKS

M. Bernstein and N. J. A. Sloane, <a href="/A003633/a003633_1.pdf">Some canonical sequences of integers</a>, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]

STATUS

approved

editing

#5 by N. J. A. Sloane at Sun May 07 16:36:10 EDT 2017

LINKS

M. Bernstein and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.CO/0205301">Some canonical sequences of integers</a>, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to arXiv version]

Discussion

Sun May 07

16:36

OEIS Server: https://oeis.org/edit/global/2649

#4 by N. J. A. Sloane at Wed Dec 21 10:59:41 EST 2016

STATUS

proposed

approved

#3 by Ilya Gutkovskiy at Sun Dec 18 12:43:13 EST 2016

STATUS

editing

proposed