A343174 Partial sums of paper-folding sequence A014577.

1, 2, 2, 3, 4, 4, 4, 5, 6, 7, 7, 7, 8, 8, 8, 9, 10, 11, 11, 12, 13, 13, 13, 13, 14, 15, 15, 15, 16, 16, 16, 17, 18, 19, 19, 20, 21, 21, 21, 22, 23, 24, 24, 24, 25, 25, 25, 25, 26, 27, 27, 28, 29, 29, 29, 29, 30, 31, 31, 31, 32, 32, 32, 33, 34, 35, 35, 36, 37, 37, 37, 38, 39, 40, 40, 40

Offset

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Formula

a(n) ~ n/2. - Amiram Eldar, Sep 14 2024

Mathematica

Accumulate[(1 + JacobiSymbol[-1, Range[100]])/2] (* Paolo Xausa, May 26 2024 *)

Crossrefs

Cf. A014577.

Sequence in context: A218446 A362965 A102548 * A340205 A004001 A086841

Adjacent sequences: A343171 A343172 A343173 * A343175 A343176 A343177

Keyword

nonn

Author

N. J. A. Sloane, Apr 23 2021

Status

approved