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.

A369152 Total number of digits in row n of Pascal's triangle.

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%I A369152 #28 Feb 15 2024 12:54:23
%S A369152 1,2,3,4,5,8,10,12,14,18,25,28,31,38,44,50,57,64,69,76,88,96,102,114,
%T A369152 125,134,142,154,166,178,191,202,215,230,244,256,268,288,303,316,334,
%U A369152 356,372,388,411,428,447,470,490,506,529,554,573,590,618,642,660,686
%N A369152 Total number of digits in row n of Pascal's triangle.
%F A369152 a(n) = 1 + n + Sum_{k=0..n} floor(log_10(C(n,k))).
%F A369152 a(n) = A055642(A003590(n)). - _Michel Marcus_, Jan 15 2024
%p A369152 a:= n-> length(cat(seq(binomial(n,k), k=0..n))):
%p A369152 seq(a(n), n=0..57);  # _Alois P. Heinz_, Jan 15 2024
%t A369152 A369152[n_Integer] := Total[IntegerLength[Binomial[n, #]] & /@ Range[0, n]]
%t A369152 First50Terms = Table[A369152[n], {n, 0, 49}]
%o A369152 (PARI) a(n) = #concat(vector(n+1, k, Str(binomial(n,k-1)))); \\ _Michel Marcus_, Jan 18 2024
%o A369152 (Python)
%o A369152 from math import comb
%o A369152 def A369152(n): return sum(len(str(comb(n,k))) for k in range(n+1)) # _Chai Wah Wu_, Feb 15 2024
%Y A369152 Cf. A007318, A055642, A003590.
%K A369152 nonn,base
%O A369152 0,2
%A A369152 _Bartlomiej Pawlik_, Jan 14 2024