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 A282288 Expansion of (Sum_{k>=0} x^(k^4))^19. 2
 1, 19, 171, 969, 3876, 11628, 27132, 50388, 75582, 92378, 92378, 75582, 50388, 27132, 11628, 3876, 988, 513, 2926, 15505, 58140, 162792, 352716, 604656, 831402, 923780, 831402, 604656, 352716, 162792, 58140, 15504, 3078, 3249, 23275, 116280, 406980, 1058148, 2116296, 3325608, 4157010, 4157010, 3325608 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Number of ways to write n as an ordered sum of 19 fourth powers (A000583). a(n) > 0 for all n >= 0. Every natural number is the sum of at most 19 fourth powers (Balasubramanian, 1986). LINKS Ilya Gutkovskiy, Extended graphical example Eric Weisstein's World of Mathematics, Biquadratic Number Eric Weisstein's World of Mathematics, Waring's Problem FORMULA G.f.: (Sum_{k>=0} x^(k^4))^19. MATHEMATICA nmax = 42; CoefficientList[Series[Sum[x^k^4, {k, 0, nmax}]^19, {x, 0, nmax}], x] CROSSREFS Cf. A000583, A002377, A002804, A014110, A173682. Sequence in context: A224935 A047644 A010935 * A022614 A322878 A060222 Adjacent sequences:  A282285 A282286 A282287 * A282289 A282290 A282291 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Feb 12 2017 STATUS approved

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Last modified September 30 18:12 EDT 2020. Contains 337440 sequences. (Running on oeis4.)