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A326300 Steinhaus sums. 0
2, 6, 8, 16, 18, 22, 24, 40, 42, 46, 48, 56, 58, 62, 64, 96, 98, 102, 104, 112, 114, 118, 120, 136, 138, 142, 144, 152, 154, 158, 160, 224, 226, 230, 232, 240, 242, 246, 248, 264, 266, 270, 272, 280, 282, 286, 288, 320, 322, 326, 328, 336, 338, 342, 344, 360, 362, 366, 368 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..59.

Sandor Csörgö, Gordon Simons, On Steinhaus' resolution of the St. Petersburg paradox, Probab. Math. Statist. 14 (1993), 157--172. MR1321758 (96b:60017). See p. 163 and Table 1 p. 171.

FORMULA

a(n) = Sum_{k>=1} floor(n/2^k + 1/2)*2^k.

a(n) = 2 * A006520(n-1).

PROG

(PARI) a(n) = sum(k=1, 1+log(n)\log(2), floor(n/2^k+1/2)*2^k);

CROSSREFS

Cf. A000523 (log_2(n)), A006520.

Sequence in context: A336896 A306906 A174658 * A266074 A191822 A238549

Adjacent sequences:  A326297 A326298 A326299 * A326301 A326302 A326303

KEYWORD

nonn

AUTHOR

Michel Marcus, Oct 17 2019

STATUS

approved

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Last modified October 1 17:45 EDT 2020. Contains 337444 sequences. (Running on oeis4.)