A117882 Partial sums of floor(Pi^n).

1, 4, 13, 44, 141, 447, 1408, 4428, 13916, 43725, 137373, 431577, 1355846, 4259523, 13381694, 42039839, 132072059, 414916622, 1303499025, 4095062974, 12865019770, 40416651612, 126972655803, 398896362696, 1253169882609

Offset

0,2

Comments

The only prime in the sequence through a(50) is a(2) = 13.

Links

Table of n, a(n) for n=0..24.

Formula

a(n) = Sum_{i=0..n} A001672(i).

a(n) = Sum_{i=0..n} floor(Pi^i).

Mathematica

Accumulate[Table[Floor[\[Pi]^n], {n, 0, 30}]]  (* Harvey P. Dale, Apr 21 2011 *)

Crossrefs

Cf. A001672.

Sequence in context: A252831 A219708 A345230 * A257674 A027123 A291236

Adjacent sequences: A117879 A117880 A117881 * A117883 A117884 A117885

Keyword

easy,nonn

Author

Jonathan Vos Post, May 02 2006

Status

approved