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 A320240 Expansion of theta_3(q) * theta_3(q^3) * theta_3(q^5) * theta_3(q^7), where theta_3() is the Jacobi theta function. 2
 1, 2, 0, 2, 6, 2, 4, 6, 8, 14, 4, 12, 18, 12, 12, 8, 34, 12, 8, 32, 10, 28, 0, 16, 44, 18, 16, 14, 54, 8, 12, 48, 32, 52, 28, 32, 42, 40, 8, 44, 92, 28, 16, 56, 28, 30, 44, 12, 86, 74, 8, 32, 72, 24, 40, 104, 72, 56, 32, 56, 56, 112, 8, 38, 166, 24, 36, 40, 56, 88, 52 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Also the number of integer solutions (a_1, a_2, a_3, a_4) to the equation a_1^2 + 3*a_2^2 + 5*a_3^2 + 7*a_4^2 = n. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 Eric Weisstein's World of Mathematics, Jacobi Theta Functions CROSSREFS Product_{k=1..m} theta_3(q^(2*k-1)): A000122 (m=1), A033716 (m=2), A320239 (m=3), this sequence (m=4). Cf. A320078. Sequence in context: A320239 A033727 A033757 * A320992 A320078 A136426 Adjacent sequences: A320237 A320238 A320239 * A320241 A320242 A320243 KEYWORD nonn AUTHOR Seiichi Manyama, Oct 08 2018 STATUS approved

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Last modified June 13 22:21 EDT 2024. Contains 373391 sequences. (Running on oeis4.)