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 A343082 a(n) is the smallest number that is the sum of n positive 4th powers in three ways. 5
 811538, 16578, 4225, 2676, 2677, 518, 519, 520, 521, 522, 523, 524, 525, 526, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 COMMENTS This is r(n,4,3) in Alter's notation. LINKS Table of n, a(n) for n=3..52. R. Alter, Computations and generalizations on a remark of Ramanujan, pp. 182-196 of "Analytic Number Theory (Philadelphia, 1980)", ed. M. I. Knopp, Lect. Notes Math., Vol. 899, 1981. See Table 8, page 192. Index entries for linear recurrences with constant coefficients, signature (2,-1). FORMULA a(n) = n + 255 for n >= 17. EXAMPLE a(3) = 811538 = 4^4 + 23^4 + 27^4 = 7^4 + 21^4 + 28^4 = 12^4 + 17^4 + 29^4. a(4) = 16578 = 1^4 + 2^4 + 9^4 + 10^4 = 2^4 + 5^4 + 6^4 + 11^4 = 3^4 + 7^4 + 8^4 + 10^4. CROSSREFS Cf. A085559, A123075, A342893, A343077, A343081, A343083, A343086. Sequence in context: A270117 A178290 A083617 * A344239 A344240 A238522 Adjacent sequences: A343079 A343080 A343081 * A343083 A343084 A343085 KEYWORD nonn AUTHOR Sean A. Irvine, Apr 04 2021 STATUS approved

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Last modified July 15 14:51 EDT 2024. Contains 374333 sequences. (Running on oeis4.)