A360445 a(n) = Sum_{k=1..n} A178244(k-1).

0, 1, 2, 4, 5, 8, 11, 14, 15, 19, 25, 31, 35, 41, 45, 49, 50, 55, 65, 75, 85, 95, 105, 115, 120, 130, 140, 150, 155, 165, 170, 175, 176, 182, 197, 212, 232, 247, 267, 287, 302, 317, 337, 357, 372, 392, 407, 422, 428, 443, 463, 483, 498, 518, 533, 548, 554, 574, 589

Offset

0,3

Comments

Partial sums of A178244, including the empty sum as initial term, so that a(n) gives the sum of all distinct permutations of the binary representation of all numbers less than n, which is also the index where terms with first half of binary expansion equal to n (in binary) start in A272653.

Links

Table of n, a(n) for n=0..58.

Prog

(PARI) a(n)=sum(k=1, n, A178244(k-1))

Crossrefs

Cf. A178244, A272653.

Sequence in context: A282434 A105659 A298990 * A191169 A191122 A191338

Adjacent sequences: A360442 A360443 A360444 * A360446 A360447 A360448

Keyword

nonn

Author

M. F. Hasler, Feb 23 2023

Status

approved