A341407 INVERT transform of pi (A000720).

1, 0, 1, 2, 3, 7, 12, 24, 45, 85, 163, 309, 588, 1119, 2127, 4046, 7695, 14635, 27835, 52939, 100685, 191493, 364201, 692676, 1317403, 2505573, 4765360, 9063255, 17237439, 32783952, 62351921, 118587357, 225541742, 428958694, 815838168, 1551645701, 2951080845

Offset

0,4

Links

Alois P. Heinz, Table of n, a(n) for n = 0..2000

N. J. A. Sloane, Transforms

Formula

G.f.: 1 / (1 - Sum_{k>=1} pi(k) * x^k).

Maple

a:= proc(n) option remember; `if`(n=0, 1,
      add(a(n-i)*numtheory[pi](i), i=1..n))
    end:
seq(a(n), n=0..42);

Crossrefs

Cf. A000720.

Sequence in context: A289977 A000630 A036538 * A108742 A018240 A090596

Adjacent sequences: A341404 A341405 A341406 * A341408 A341409 A341410

Keyword

nonn

Author

Alois P. Heinz, Feb 11 2021

Status

approved