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 A003997 Sum of distinct positive cubes. 10
 1, 8, 9, 27, 28, 35, 36, 64, 65, 72, 73, 91, 92, 99, 100, 125, 126, 133, 134, 152, 153, 160, 161, 189, 190, 197, 198, 216, 217, 224, 225, 243, 244, 251, 252, 280, 281, 288, 289, 307, 308, 315, 316, 341, 342, 343, 344, 349, 350, 351, 352, 368, 369, 370, 371 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 12758 is the largest of 2788 positive integers not in this sequence. - Jud McCranie, Dec 11 1999 REFERENCES R. Sprague, Über Zerlegungen in n-te Potenzen mit lauter verschiedenen Grundzahlen, Math. Z. 51, (1948). 466-468. D. Wells, The Penguin Dictionary of Curious and Interesting Numbers, entry 12758. LINKS T. D. Noe, Table of n, a(n) for n = 1..10000 Index entries for linear recurrences with constant coefficients, signature (2,-1). FORMULA For n > 9970, a(n) = n + 2788. - Charles R Greathouse IV, Sep 02 2011 MAPLE (1+x)*(1+x^8)*(1+x^27)*(1+x^64)*(1+x^125)*(1+x^216)*(1+x^343)*(1+x^512)*(1+x^729)*(1+x^1000) MATHEMATICA lim = 8; s = {0}; Do[s = Union[s, s + n^3], {n, lim}]; Select[s, 0 < # <= lim^3 &] (* T. D. Noe, Jul 10 2012 *) PROG (PARI) list(lim)={     lim\=1;     my(lm=min(lim+1, 12758), v=List(), P);     P=prod(n=1, lm^(1/3), 1+x^(n^3), 1+O(x^lm));     for(n=1, lm-1, if(polcoeff(P, n), listput(v, n)));     if(lim>12758, concat(Vec(v), vector(lim-12758, i, i+12758)), Vec(v)) }; \\ Charles R Greathouse IV, Sep 02 2011 CROSSREFS Complement of A001476. Cf. A003995. Sequence in context: A041317 A305336 A042311 * A114090 A217843 A139753 Adjacent sequences:  A003994 A003995 A003996 * A003998 A003999 A004000 KEYWORD nonn,easy AUTHOR EXTENSIONS Definition clarified by Jeppe Stig Nielsen, Jan 27 2015 STATUS approved

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Last modified December 13 17:37 EST 2019. Contains 329970 sequences. (Running on oeis4.)