cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A374677 Decimal expansion of (5/96)*Pi^2 - (log(2)^2)/8.

Original entry on oeis.org

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

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Author

Paolo Xausa, Jul 16 2024

Keywords

Examples

			0.4539852691502955833142419237860497501646027251778...
		

Crossrefs

Programs

  • Mathematica
    First[RealDigits[5*Pi^2/96 - Log[2]^2/8, 10, 100]]

Formula

Equals A096615 - A253191/8.
Equals Sum_{k >= 1} d(k)/(2^floor((k + 1)/2)*k^2), where d is the periodic sequence {1, 0, -1, -1, -1, 0, 1, 1}. See Bailey et al. (1997), eq. 2.15, p. 907.
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