cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A110147 #16 Dec 16 2024 07:31:50
%S A110147 1,1,10,1000,1000000,10000000000,1000000000000000,
%T A110147 1000000000000000000000,10000000000000000000000000000,
%U A110147 1000000000000000000000000000000000000
%N A110147 10^((n^2-n)/2).
%C A110147 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.
%C A110147 Also the Hankel transform of A379103. - _Nathaniel Johnston_, Dec 16 2024
%F A110147 a(n+1) is the determinant of n X n matrix M_(i, j) = binomial(10i, j).
%F A110147 a(n)=10a(n-1)^2/a(n-2), a(0)=a(1)=1. - _Michael Somos_, Sep 12 2005
%o A110147 (PARI) a(n)=10^binomial(n,2) \\ _Charles R Greathouse IV_, Jan 17 2012
%Y A110147 Cf. A006125, A047656, A053763, A053764, A109345, A109354, A109493, A109966.
%K A110147 nonn,easy
%O A110147 0,3
%A A110147 _Philippe Deléham_, Sep 04 2005