A010487 -id:A010487 - cp's OEIS frontend

A386461 Decimal expansion of the surface area of a biaugmented truncated cube with unit edges.

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

Offset: 2

Paolo Xausa, Jul 23 2025

The biaugmented truncated cube is Johnson solid J_67.

			36.241911729260269564523295159701074096328596018257...

Paolo Xausa, Table of n, a(n) for n = 2..10000
Wikipedia, Biaugmented truncated cube.

Cf. A010524 (volume - 9).

Cf. A010469, A010487, A010502, A377342, A385535, A386460.

First[RealDigits[18 + 8*Sqrt[2] + Sqrt[48], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J67", "SurfaceArea"], 10, 100]]

Equals 2*(9 + 4*sqrt(2) + 2*sqrt(3)) = 2*(9 + A010487 + A010469) = 18 + A377342 + A010502.

Equals the largest root of x^4 - 72*x^3 + 1592*x^2 - 10656*x - 2672.

A263354 Decimal expansion of the generalized hypergeometric function 3F2(1/2,3/2,3/2; 5/2,5/2;x) at x=1/2.

Original entry on oeis.org

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

Offset: 1

R. J. Mathar, Oct 16 2015

			1.113463780929017366397176...

R. J. Mathar, Yet another table of integrals, arXiv:1207.5845 [math.CA], 2012-2024, Eq. (9.82).

Cf. A000796, A010487, A244009, A247685.

evalf(hypergeom([1/2,3/2,3/2],[5/2,5/2],1/2)) ;

RealDigits[9*(4*Catalan - 2 + Pi*(Log[2] - 1))/(4*Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Aug 23 2024 *)

Equals 9*(4*Catalan-2+Pi*(log 2 -1))/(4*sqrt(2)) = 9*(A247685 -2 - A000796 * A244009) / A010487.

A378800 Decimal expansion of 4(8 - 4sqrt(2) - log(2))/(2*sqrt(2) - 1).

Original entry on oeis.org

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

Offset: 1

Stefano Spezia, Dec 07 2024

			3.609656731988629081585845212450133492672937698...

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 2.23, p. 177.

Cf. A002162, A002193, A010466, A010487.

RealDigits[4(8-4Sqrt[2]-Log[2])/(2Sqrt[2]-1),10,100][[1]]

A378967 Decimal expansion of 4sqrt(2) - 6sqrt(6)/Pi.

Original entry on oeis.org

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

Offset: 0

Stefano Spezia, Dec 12 2024

			0.97867344209032354777154659519925174861788570230863...

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 5.4.1, p. 287.

Cf. A000796, A002193, A010464, A010487, A132696, A343906.

RealDigits[4Sqrt[2]-6Sqrt[6]/Pi,10,100][[1]]

Equals Sum_{i<>0} (-1)^(i+1)/(3*i^2 + i) (see Finch).

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A386461 Decimal expansion of the surface area of a biaugmented truncated cube with unit edges.

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A263354 Decimal expansion of the generalized hypergeometric function 3F2(1/2,3/2,3/2; 5/2,5/2;x) at x=1/2.

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A378800 Decimal expansion of 4*(8 - 4*sqrt(2) - log(2))/(2*sqrt(2) - 1).

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A378967 Decimal expansion of 4*sqrt(2) - 6*sqrt(6)/Pi.

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A378800 Decimal expansion of 4(8 - 4sqrt(2) - log(2))/(2*sqrt(2) - 1).

A378967 Decimal expansion of 4sqrt(2) - 6sqrt(6)/Pi.