0,6

McKay-Thompson series of class 72e for the Monster group.

Also number of partitions of n into odd parts in which no part appears more than twice, cf. A070048 and A096938. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 18 2005

Also number of partitions of n into distinct parts congruent to 1 or 2 modulo 3. (Follows from second G.F.) - Naoki Sato (nsato7(AT)yahoo.ca), Jul 20 2005

D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).

R. Zumkeller, Table of n, a(n) for n = 0..200

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

N. Chair, Partition identities from Partial Supersymmetry

G.f.: 1/Product_{k>=0} (1-x^(6*k+1))*(1-x^(6*k+5)) = Product_{k>=0} (1+x^(3*k+1))*(1+x^(3*k+2)) = 1/Product_{k>=0} (1-x^k+x^(2*k)). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Jun 08 2003

Expansion of q^(1/12)eta(q^2)eta(q^3)/(eta(q)eta(q^6)) in powers of q.

Euler transform of period 6 sequence [1, 0, 0, 0, 1, 0, ...]. - Michael Somos, Jan 09 2005

Given g.f. A(x), then B(x)=(A(x^12)/x)^4 satisfies 0=f(B(x), B(x^2)) where f(u, v)=uv^4+(1-u^3)v^3+6u^2v^2+(u^4-u)v+u^3 - Michael Somos, Jan 09 2005

T72e = 1/q + q^11 + q^23 + q^35 + q^47 + 2q^59 + 2q^71 + 3q^83 + ...

(PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( eta(x^2+A)*eta(x^3+A)/eta(x+A)/eta(x^6+A), n))} /* Michael Somos Jan 09 2005 */

Cf. A001651, A000726, A132462, A132463.

Sequence in context: A125059 A029112 A029094 this_sequence A081166 A036846 A058740

Adjacent sequences: A003102 A003103 A003104 this_sequence A003106 A003107 A003108

nonn

njas, Herman P. Robinson

More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Jun 08 2003