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 A029831 Eisenstein series E_24(q) (alternate convention E_12(q)), multiplied by 236364091. 18
 236364091, 131040, 1099243323360, 12336522153621120, 9221121336284413920, 1562118530273437631040, 103486260766565509822080, 3586400651444203277717760, 77352372210526124884754400, 1161399411211600265764157280 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES J.-P. Serre, Course in Arithmetic, Chap. VII, Section 4. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 FORMULA a(n) = 49679091*A282330(n) + 176400000*A282332(n) + 10285000*A282331(n). - Seiichi Manyama, Feb 12 2017 MATHEMATICA terms = 10; E24[x_] = 236364091 + 131040*Sum[k^23*x^k/(1 - x^k), {k, 1, terms}]; E24[x] + O[x]^terms // CoefficientList[#, x]& (* Jean-François Alcover, Feb 27 2018 *) PROG (PARI) a(n)=if(n<1, 236364091*(n==0), 131040*sigma(n, 23)) CROSSREFS Cf. A006352 (E_2), A004009 (E_4), A013973 (E_6), A008410 (E_8), A013974 (E_10), A029828 (691*E_12), A058550 (E_14), A029829 (3617*E_16), A279892 (43867*E_18), A029830 (174611*E_20), A279893 (77683*E_22), this sequence (236364091*E_24). Cf. A282330 (E_4^6), A282332 (E_4^3*E_6^2), A282331 (E_6^4). Sequence in context: A283073 A328374 A322061 * A289981 A203885 A234058 Adjacent sequences:  A029828 A029829 A029830 * A029832 A029833 A029834 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified June 7 02:48 EDT 2020. Contains 334836 sequences. (Running on oeis4.)