A092919 -id:A092919 - cp's OEIS frontend

A092755 Partial sums of A000195 (floor(log(n))).

0, 0, 1, 2, 3, 4, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 76, 79, 82, 85, 88, 91, 94, 97, 100, 103, 106, 109, 112, 115, 118, 121, 124, 127, 130, 133, 137, 141, 145, 149, 153, 157, 161, 165, 169, 173, 177, 181, 185

Offset: 1

Jorge Coveiro, Apr 13 2004

nonn

			a(1) = floor(log(1)).
a(2) = a(1) + floor(log(2)).
a(3) = a(2) + floor(log(3)).
...

Cf. A000195, A000193, A092919.

A092757 Partial sums of round(log_2(n)).

Original entry on oeis.org

0, 1, 3, 5, 7, 10, 13, 16, 19, 22, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 190, 196, 202, 208, 214, 220, 226, 232, 238, 244, 250, 256, 262, 268, 274

Offset: 1

Jorge Coveiro, Apr 13 2004

Cf. A092919. - R. J. Mathar, Sep 08 2008

A004257 := proc(n) option remember ; round(log[2](n)) ; end: A092757 := proc(n) local i ; add( A004257(i),i=1..n) ; end: for n from 1 to 100 do printf("%d,",A092757(n)) ; od: # R. J. Mathar, Sep 08 2008

Accumulate[Round[Log[2,Range[60]]]] (* Harvey P. Dale, Apr 15 2018 *)

a(n)= sum_{i=1..n} A004257(i). - R. J. Mathar, Sep 08 2008

Corrected and extended by Pab Ter (pabrlos(AT)yahoo.com), May 24 2004

Changed from a(3) on by R. J. Mathar, Sep 08 2008

cp's OEIS Frontend

A092755 Partial sums of A000195 (floor(log(n))).

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A092757 Partial sums of round(log_2(n)).

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