A278478 a(n) is the 2-adic valuation of A000041(n).

0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 3, 0, 0, 0, 4, 0, 0, 0, 1, 0, 3, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 6, 0, 0, 0, 5, 0, 0, 0, 2, 3, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 11, 1, 3, 0, 2, 1, 0, 1, 0, 0, 4, 0, 2, 7, 1, 0, 2, 2, 0, 0, 3, 2, 0

Offset

0,12

Comments

Write A000041(n) = 2^k * s where s is odd, then a(n) = k.

Links

Joerg Arndt, Table of n, a(n) for n = 0..10000

Maple

a:= n-> padic[ordp](combinat[numbpart](n), 2):
seq(a(n), n=0..120);  # Alois P. Heinz, Nov 23 2016

Prog

(PARI) { my( x='x+O('x^100), v=Vec(1/eta(x)) ); vector(#v, n, valuation(v[n], 2)) }

Crossrefs

Cf. A278479.

Cf. A052002, A237280, A278779, A278780, A278781, A278782, A278783, A278784 (positions of terms 0, 1, 2, ..., 7 in this sequence).

Cf. also A278241.

Sequence in context: A267502 A296605 A354488 * A364107 A122480 A096133

Adjacent sequences: A278475 A278476 A278477 * A278479 A278480 A278481

Keyword

nonn

Author

Joerg Arndt, Nov 23 2016

Status

approved