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 A320234 Expansion of Product_{k=1..8} theta_3(q^k), where theta_3() is the Jacobi theta function. 10
 1, 2, 2, 6, 8, 10, 22, 26, 36, 58, 72, 96, 130, 164, 200, 268, 324, 376, 486, 552, 642, 796, 876, 992, 1198, 1294, 1436, 1682, 1794, 1964, 2268, 2428, 2556, 2980, 3116, 3304, 3876, 3940, 4252, 4896, 4996, 5348, 6164, 6260, 6668, 7686, 7808, 8120, 9378, 9490, 9762 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Also the number of integer solutions (a_1, a_2, ... , a_8) to the equation a_1^2 + 2*a_2^2 + ... + 8*a_8^2 = 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^k): A000122 (m=1), A033715 (m=2), A029594 (m=3), A320139 (m=4), A320231 (m=5), A320232 (m=6), A320233 (m=7), this sequence (m=8), A320241 (m=9), A320242(m=10), A320246 (m=12), A320247 (m=16). Cf. A320067, A320243. Sequence in context: A320231 A320232 A320233 * A320241 A320242 A320246 Adjacent sequences: A320231 A320232 A320233 * A320235 A320236 A320237 KEYWORD nonn,look 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.)