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A117712 Number of pentagonal numbers with n digits. 1

%I #7 Nov 21 2013 12:48:57

%S 3,6,17,56,177,558,1766,5583,17655,55829,176550,558297,1765493,

%T 5582976,17654924,55829769,176549231,558297692,1765492316,5582976912,

%U 17654923165,55829769118,176549231655,558297691180,1765492316544,5582976911806,17654923165439

%N Number of pentagonal numbers with n digits.

%H Harvey P. Dale, <a href="/A117712/b117712.txt">Table of n, a(n) for n = 0..1000</a>

%e a(4)= 56 because there are 56 pentagonal numbers with 4 digits.

%t nm[n_] := Floor[(1 + Sqrt[1 + 24 n])/6]; Join[{3}, Differences[ Table[nm[10^i], {i,30}]]] (* _Harvey P. Dale_, Oct 19 2011 *)

%Y Cf. A000326.

%K base,nonn

%O 0,1

%A Luc Stevens (lms022(AT)yahoo.com), Apr 13 2006

%E More terms from Harvey P. Dale, Oct 19 2011

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Last modified May 9 12:21 EDT 2024. Contains 372350 sequences. (Running on oeis4.)