|
Search: id:A108096
|
|
|
| A108096 |
|
Coefficients of square root of theta series of D_4 (see A004011). |
|
+0
3
|
|
| 1, 12, -60, 768, -11004, 178200, -3093504, 56265216, -1058194428, 20410970124, -401553531000, 8026398749952, -162541338390528, 3327702330562584, -68761528402925568, 1432192515405350400, -30037109244686774268, 633790586271852392472, -13444940755220756447292, 286577646482211381212928
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Do these coefficients have a number-theoretic interpretation?
|
|
LINKS
|
N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
|
|
EXAMPLE
|
More precisely, the theta series of D_4 begins 1 + 24*q^2 + 24*q^4 + 96*q^6 + 24*q^8 + 144*q^10 + 96*q^12 + ... and the square root of this is 1 + 12*q^2 - 60*q^4 + 768*q^6 - 11004*q^8 + 178200*q^10 - 3093504*q^12 + ...
|
|
CROSSREFS
|
Cf. A004011, A108092.
Sequence in context: A012706 A012359 A012707 this_sequence A056388 A056378 A076504
Adjacent sequences: A108093 A108094 A108095 this_sequence A108097 A108098 A108099
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com) and Michael Somos, Jun 07 2005
|
|
|
Search completed in 0.002 seconds
|
