A030454 Make a table giving binary expansion of zeta(m) for m = 2, 3, ...; a(n) = number of 1's in n-th column of table (after decimal point).

1, 0, 2, 2, 1, 3, 2, 5, 2, 3, 5, 6, 4, 2, 7, 6, 3, 3, 8, 5, 7, 6, 9, 6, 8, 6, 12, 5, 11, 11, 9, 15, 12, 8, 14, 9, 10, 12, 10, 14, 13, 15, 15, 13, 19, 16, 11, 19, 13, 17, 16, 19, 16, 17, 20, 17, 15, 24, 25, 22, 16, 12, 19, 17, 31

Offset

1,3

Links

Table of n, a(n) for n=1..65.

Formula

a(n) = sum(trunc(frac(zeta(m)*2^n)*2), m=2..infinity).

Crossrefs

Sequence in context: A323479 A276427 A129711 * A262985 A296786 A145141

Adjacent sequences: A030451 A030452 A030453 * A030455 A030456 A030457

Keyword

nonn,base

Author

Simon Plouffe

Status

approved