A110147 10^((n^2-n)/2).

1, 1, 10, 1000, 1000000, 10000000000, 1000000000000000, 1000000000000000000000, 10000000000000000000000000000, 1000000000000000000000000000000000000

Offset: 0

Author

Philippe Deléham, Sep 04 2005

Keywords

• nonn
• easy

Comments

Sequence given by the Hankel transform (see A001906 for definition) of A082148 = {1, 1, 11, 131, 1661, 22101, 305151, 4335711, ...}; example: det([1, 1, 11, 131; 1, 11, 131, 1661; 11, 131, 1661, 22101; 131, 1661, 22101, 305151]) = 10^6 = 1000000.

Also the Hankel transform of A379103. - Nathaniel Johnston, Dec 16 2024

Crossrefs

Cf. A006125, A047656, A053763, A053764, A109345, A109354, A109493, A109966.

Programs

PARI

a(n)=10^binomial(n,2) \\ Charles R Greathouse IV, Jan 17 2012

Formula

a(n+1) is the determinant of n X n matrix M_(i, j) = binomial(10i, j).

a(n)=10a(n-1)^2/a(n-2), a(0)=a(1)=1. - Michael Somos, Sep 12 2005