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.

A164847 (100^n,1) Pascal triangle.

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%I A164847 #11 Jul 22 2025 07:18:23
%S A164847 1,100,1,10000,101,1,1000000,10101,102,1,100000000,1010101,10203,103,
%T A164847 1,10000000000,101010101,1020304,10306,104,1,1000000000000,
%U A164847 10101010101,102030405,1030610,10410,105,1,100000000000000,1010101010101
%N A164847 (100^n,1) Pascal triangle.
%C A164847 (For row n=0,1,2,3,4,5 : Sum of digits = Pascal triangle)
%F A164847 T(n,0)=100^n, T(n,n)=1, T(n,k)=T(n-1,k-1)+T(n-1,k) for 0<k<n. - _Philippe Deléham_, Dec 27 2013
%F A164847 T(n,k)=101*T(n-1,k)+T(n-1,k-1)-100*T(n-2,k)-100*T(n-2,k-1), T(0,0)=1, T(1,0)=100, T(1,1)=1, T(n,k)=0 if k<0 or if k>n. - _Philippe Deléham_, Dec 27 2013
%e A164847 Triangle begins:
%e A164847 1
%e A164847 100,1
%e A164847 10000,101,1
%e A164847 1000000,10101,102,1
%e A164847 100000000,1010101,10203,103,1
%e A164847 10000000000,101010101,1020304,10306,104,1
%e A164847 1000000000000,10101010101,102030405,1030610,10410,105,1
%e A164847 100000000000000,1010101010101,10203040506,103061015,1041020,10515,106,1
%e A164847 10000000000000000,101010101010101,1020304050607,10306101521,104102035,1051535,10621,107,1,
%Y A164847 Cf. A228196
%K A164847 nonn,tabl,easy
%O A164847 0,2
%A A164847 _Mark Dols_, Aug 28 2009