A295507 1/15840 of the volume of a primitive 3-simplex.

13, 175, 490, 85, 308, 13475, 3179, 9295, 19760, 60775, 55315, 225420, 203665, 9724, 512050, 568854, 207740, 252700, 2684396, 8695050, 1221025, 140875, 3121937, 311220, 21390460, 12289004, 17331908, 20074032, 44144100, 18055947, 21118608, 21017325, 40245205, 4418232

Offset

1,1

Comments

The volume of every primitive trirectangular tetrahedron with integer sides is divisible by 15840. See A031173 for more comments.

These primitive trirectangular tetrahedrons are primitive 3-simplices.

Links

Table of n, a(n) for n=1..34.

Eric Weisstein's World of Mathematics, Trirectangular Tetrahedron

Formula

a(n) = (1/15840)*A031173(n)*A031174(n)*A031175(n)/6.

Crossrefs

Cf. A031173, A031174, A031175.

Sequence in context: A362859 A096719 A296677 * A109392 A297691 A198448

Adjacent sequences: A295504 A295505 A295506 * A295508 A295509 A295510

Keyword

nonn

Author

Ralf Steiner, Nov 23 2017

Status

approved