A257133 a(n) = cpg(3, n) * cpg(4, n) * ... * cpg(n, n) where cpg(m, n) is the n-th m-th-order centered polygonal number.

1, 1, 1, 10, 475, 64821, 19406296, 10838525440, 10144997182125, 14751443961879625, 31491407608395366016, 94486384518726630882816, 384839939170279634083854175, 2068398906358519479054060953125, 14329327322496735822187340743680000

Offset

0,4

Links

Colin Barker, Table of n, a(n) for n = 0..169

Wikipedia, Centered polygonal number

Example

a(4) = cpg(3, 4) * cpg(4, 4) = 19 * 25 = 475.

Prog

(PARI) cpg(m, n) = m*n*(n-1)/2+1
vector(50, n, n--; prod(m=3, n, cpg(m, n)))

Crossrefs

Cf. A241453, A257132.

Sequence in context: A288548 A289030 A323205 * A159533 A274760 A173157

Adjacent sequences: A257130 A257131 A257132 * A257134 A257135 A257136

Keyword

nonn

Author

Colin Barker, Apr 16 2015

Status

approved