A032512 Sum of the integer part of 4th roots of integers <= n.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119

Offset

0,3

Links

Table of n, a(n) for n=0..67.

Formula

G.f.: Sum_{k>=1} x^(k^4)/(1 - x)^2. - Ilya Gutkovskiy, Dec 22 2016

Prog

(PARI) a(n) = sum(k=1, n, sqrtnint(k, 4)); \\ Michel Marcus, Mar 12 2016

Crossrefs

Cf. A022554, A031876, A032513.

Partial sums of A255270.

Sequence in context: A097745 A032965 A033067 * A050723 A017908 A044965

Adjacent sequences: A032509 A032510 A032511 * A032513 A032514 A032515

Keyword

nonn

Author

Michel Tixier (tixier(AT)dyadel.net)

Extensions

NAME adapted to offset. - Giovanni Resta, May 08 2020

Status

approved