login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Index entries for sequences related to Eisenstein series

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-Fran├žois 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

N. J. A. Sloane

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 4 05:19 EDT 2020. Contains 334815 sequences. (Running on oeis4.)