A071425 Total number of 1-s in binary representation of all factorials from 1 to n.

1, 2, 4, 6, 10, 14, 20, 26, 32, 43, 50, 62, 74, 86, 104, 122, 144, 167, 184, 206, 231, 259, 290, 319, 349, 384, 422, 464, 504, 552, 594, 636, 682, 733, 789, 840, 898, 957, 1021, 1084, 1150, 1214, 1285, 1359, 1429, 1506, 1587, 1676, 1763, 1852, 1942, 2030, 2124

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

a(n) = Sum_{i=1..n} A079584(i).

Mathematica

s=0; Do[s=s+Apply[Plus, IntegerDigits[n!, 2]]; Print[s], {n, 1, 128}]
Accumulate[DigitCount[Range[60]!, 2, 1]] (* Harvey P. Dale, Apr 18 2014 *)

Crossrefs

Cf. A000142, A000788.

Partial sums of A079584 starting at index 1.

Sequence in context: A213476 A277085 A094589 * A115065 A333574 A008804

Adjacent sequences: A071422 A071423 A071424 * A071426 A071427 A071428

Keyword

base,easy,nonn

Author

Labos Elemer, May 27 2002

Status

approved