A278782 Numbers m such that A000041(m) is of the form 2^5 * k for odd k.

70, 179, 262, 278, 419, 561, 682, 698, 767, 879, 1147, 1238, 1273, 1317, 1362, 1364, 1378, 1450, 1478, 1499, 1509, 1548, 1590, 1638, 1668, 1711, 1752, 1781, 1838, 1949, 2170, 2187, 2300, 2317, 2334, 2382, 2408, 2447, 2463, 2499, 2551, 2669, 2695, 2788, 2926

Offset

1,1

Comments

Numbers m such that A278478(m) = 5.

Also numbers m such that A000041(m) has five times as many even divisors as odd divisors.

Links

Colin Barker, Table of n, a(n) for n = 1..300

Formula

A000041(a(n)) = A278199(n).

Mathematica

Select[Range[500], IntegerExponent[PartitionsP[#], 2] == 5 &] (* Amiram Eldar, May 25 2024 *)

Prog

(PARI) isok(n) = valuation(numbpart(n), 2)==5;
select(n->isok(n), vector(3000, n, n))

Crossrefs

Cf. A000041, A278199, A278779, A278780, A278781, A278783, A278784.

Positions of 5's in A278478.

Sequence in context: A255793 A044402 A044783 * A154361 A165762 A165764

Adjacent sequences: A278779 A278780 A278781 * A278783 A278784 A278785

Keyword

nonn

Author

Colin Barker, Nov 28 2016

Status

approved