A373642 Decimal expansion of Sum_{k>=1} (sin(Pi/k))^(2k).

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

Offset: 1

Author

R. J. Mathar, Jun 12 2024

Keywords

• nonn
• cons

Examples

			0^2 + 1^4 + (0.86602...)^6 + (0.70710..)^8 + (0.58778..)^10 + ... = 1.4895502488138264685841...
		

Links

• Lewis Trem, Infinite sum of ..., Math StackExchange, Jul 8 2020.

Crossrefs

Cf. A269611, A010527 (sin Pi/3), A010503 (sin Pi/4), A019845 (sin Pi/5).

Programs

PARI

sumpos(k = 1, sin(Pi/k)^(2*k)) \\ Amiram Eldar, Aug 20 2024