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A341407 INVERT transform of pi (A000720). 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 29 18:39 EDT 2022. Contains 357090 sequences. (Running on oeis4.)