A067842 Expansion of 1/Product_{k=1..infinity} (1-x^A007097(k)).

1, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 17, 18, 20, 22, 24, 26, 28, 30, 33, 36, 38, 42, 44, 48, 52, 55, 59, 63, 67, 72, 77, 81, 87, 92, 98, 104, 110, 116, 123, 130, 137, 145, 152, 161, 169, 178, 187, 196, 206, 216, 227, 237, 249, 260, 273, 285

Offset

0,6

Links

Table of n, a(n) for n=0..67.

Formula

G.f.: 1/((1-x^2)(1-x^3)(1-x^5)(1-x^11)...).

Mathematica

CoefficientList[ Series[1/Product[1 - x^Nest[Prime, 1, i], {i, 1, 6}], {x, 0, 75}], x]

Crossrefs

Cf. A007097.

Sequence in context: A103563 A008625 A029148 * A164066 A053251 A090184

Adjacent sequences: A067839 A067840 A067841 * A067843 A067844 A067845

Keyword

nonn

Author

Robert G. Wilson v, Feb 11 2002

Status

approved