A377642 - OEIS

A377642

a(n) = (1/(n-1)!) * Product_{i=1..n-1} (2^n-2^i).

1, 2, 12, 224, 13440, 2666496, 1791885312, 4161269661696, 33955960439439360, 987107315743488737280, 103404624282172311371513856, 39408968779516596852827017445376, 55084280201257118417007491904448757760, 284322478318511376197290687371005495020093440

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Nikita Babich, Table of n, a(n) for n = 1..100

FORMULA

a(n) = (Product_{i=1..n-1}(2^n-2^i))/((n-1)!).

a(n) = A028365(n-1)/A000142(n-1).

a(n) = A000079(n-1) * A053601(n-1).

a(n) ~ A048651 * 2^(n*(n-1)) / (n-1)!. - Vaclav Kotesovec, Nov 13 2024

MATHEMATICA

Table[Product[2^n - 2^i, {i, 1, n - 1}]/Factorial[n - 1], {n, 1, 20}]

PROG

(PARI) a(n)=prod(i=1, n-1, 2^n-2^i)/(n-1)! \\ Andrew Howroyd, Nov 10 2024

CROSSREFS

Appears to be main diagonal of A270882.

Cf. A000079, A000142, A002884, A028365, A048651, A053601.

Sequence in context: A009525 A009683 A132879 * A348332 A101712 A156484

Adjacent sequences: A377639 A377640 A377641 * A377643 A377644 A377645

KEYWORD

nonn,easy

AUTHOR

Nikita Babich, Nov 05 2024

STATUS

approved