A332448 a(n) = A007814(A087808(sigma(n))).

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

Offset

1,3

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Index entries for sequences related to binary expansion of n

Index entries for sequences related to sigma(n)

Formula

a(n) = A007814(A332224(n)) = A332447(A000203(n)) = A007814(A087808(A000203(n))).

Prog

(PARI)
A087808(n) = if(n<1, 0, if(n%2==0, 2*A087808(n/2), A087808((n-1)/2)+1));
A332448(n) = valuation(A087808(sigma(n)), 2);

Crossrefs

Cf. A000203, A007814, A087808, A332224, A332447.

Cf. A332443 (positions of zeros).

Sequence in context: A171731 A323212 A185815 * A321132 A003987 A307302

Adjacent sequences: A332445 A332446 A332447 * A332449 A332450 A332451

Keyword

nonn

Author

Antti Karttunen, Feb 14 2020

Status

approved