A395062 Decimal expansion of 1 - 1/(1*3)^2 + 1/(1*3*5)^2 - 1/(1*3*5*7)^2 + ...

8, 9, 3, 2, 4, 3, 7, 4, 0, 9, 7, 5, 0, 2, 6, 1, 6, 8, 3, 4, 3, 7, 1, 1, 8, 0, 0, 6, 2, 5, 9, 7, 8, 6, 4, 6, 8, 8, 0, 7, 4, 0, 2, 2, 8, 0, 6, 4, 3, 4, 1, 6, 5, 5, 9, 9, 9, 9, 4, 4, 0, 0, 6, 1, 5, 2, 4, 7, 7, 2, 9, 3, 7, 4, 1, 6, 2, 8, 9, 3, 9, 5, 9, 1, 9, 7, 4, 9, 5, 1, 7, 8, 8, 6, 1, 3, 0, 3, 1, 5, 9, 6, 8, 6, 3, 9, 3, 9

Offset

0,1

Links

Table of n, a(n) for n=0..107.

Eric Weisstein's World of Mathematics, Struve function.

Formula

Equals Pi * StruveH(0,1) / 2, where StruveH is the Struve function.

Equals Integral_{x=0..Pi/2} sin(cos(x)) dx.

Example

0.89324374097502616834371180062597864688074022806434165599994...

Maple

evalf[120](StruveH(0, 1)*Pi/2);  # Alois P. Heinz, Jul 08 2026

Mathematica

RealDigits[Pi StruveH[0, 1]/2, 10, 108] [[1]]

Crossrefs

Cf. A001147, A001818, A091681, A306858, A334380, A395061.

Sequence in context: A203077 A339800 A197392 * A021922 A246843 A394588

Adjacent sequences: A395059 A395060 A395061 * A395063 A395064 A395065

Keyword

nonn,cons,new

Author

Ilya Gutkovskiy, Jul 07 2026

Status

approved