|
|
A029830
|
|
Eisenstein series E_20(q) (alternate convention E_10(q)), multiplied by 174611.
|
|
17
|
|
|
174611, 13200, 6920614800, 15341851377600, 3628395292275600, 251770019531263200, 8043563916910526400, 150465416446925500800, 1902324110996589786000, 17831242688625346952400, 132000251770026451864800, 807299993919072011054400, 4217144038884527916580800, 19297347832955888660949600
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
REFERENCES
|
J.-P. Serre, Course in Arithmetic, Chap. VII, Section 4.
|
|
LINKS
|
|
|
FORMULA
|
|
|
MATHEMATICA
|
terms = 14;
E20[x_] = 174611 + 13200*Sum[k^19*x^k/(1 - x^k), {k, 1, terms}];
|
|
PROG
|
(PARI) a(n)=if(n<1, 174611*(n==0), 13200*sigma(n, 19))
|
|
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), this sequence (174611*E_20), A279893 (77683*E_22), A029831 (236364091*E_24).
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|