A144724 -id:A144724 - cp's OEIS frontend

A144731 Primes arising in A144730.

29, 197, 2549, 48413, 1597597, 55915861, 2012970961, 86557751281, 4154772061441, 228512463379201, 13482235339372801, 835898591041113601, 72723177420576883201, 9381289887254417932801

Offset: 1

Artur Jasinski, Sep 19 2008; corrected Sep 19 2008

nonn

Cf. A046966, A046972, A144717, A144718, A144722, A144723, A144724, A144725, A144726, A144727, A144728, A144729, A144730.

Typo in definition corrected by Arkadiusz Wesolowski, Aug 22 2011

A147701 Expansion of q^(1/4) * eta(q) * eta(q^2) * eta(q^5) * eta(q^20) / (eta(q^4) * eta(q^10)^3) in powers of q.

Original entry on oeis.org

1, -1, -2, 1, 1, 0, 0, 3, 1, -3, -1, -1, -4, -1, 3, 1, 4, 6, -1, -4, 1, -5, -12, 1, 10, -1, 4, 18, 1, -14, -2, -7, -22, -2, 15, 2, 14, 33, -2, -22, 3, -20, -52, 3, 37, -3, 22, 71, 4, -51, -4, -29, -90, -4, 61, 4, 50, 121, -5, -83, 5, -67, -174, 6, 123, -6, 74, 231, 6, -162, -7, -99, -286, -8, 195, 8, 148, 376, -9, -254, 11, -191

Offset: 0

Michael Somos, Nov 10 2008

sign

			1/q - q^3 - 2*q^7 + q^11 + q^15 + 3*q^27 + q^31 - 3*q^35 - q^39 + ...

{a(n) = local(A); if( n<0, 0, A = x * O(x^n); polcoeff( eta(x + A) * eta(x^2 + A) * eta(x^5 + A) * eta(x^20 + A) / (eta(x^4 + A) * eta(x^10 + A)^3), n))}

Euler transform of period 20 sequence [ -1, -2, -1, -1, -2, -2, -1, -1, -1, 0, -1, -1, -1, -2, -2, -1, -1, -2, -1, 0, ...].

G.f. is a period 1 Fourier series which satisfies f(-1 / (80 t)) = 20^(1/2) g(t) where q = exp(2 Pi i t) and g() is g.f. for A144724.

cp's OEIS Frontend

A144731 Primes arising in A144730.

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A147701 Expansion of q^(1/4) * eta(q) * eta(q^2) * eta(q^5) * eta(q^20) / (eta(q^4) * eta(q^10)^3) in powers of q.

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