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A153195 Number of primes <= n(n+1)(n+2)/6 (the tetrahedral numbers A000292). +0
1
0, 0, 2, 4, 8, 11, 16, 23, 30, 38, 47, 61, 72, 87, 102, 123, 141, 163, 189, 217, 242, 274, 306, 342, 378, 422, 462, 510, 560, 610, 663, 721, 782, 844, 914, 985, 1055, 1133, 1218, 1300, 1383, 1473, 1574, 1669, 1772, 1883, 1988, 2109, 2223, 2344, 2477, 2608, 2743 (list; graph; listen)
OFFSET

0,3

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,10000

H. J. Smith, XICalc - Extra Precision Integer Calculator.

PROGRAM

(Other) (XICalc) @Echo off

XILOut("b153195.txt"); LogScreen(1); ClearLog; AutoDisplay(0); n=0; G;

Loop:; a=Pi(n*(n+1)*(n+2)/6); Write(n); Write(" "); WriteLn(a); n=n+1;

if n<=10000 GoUpTo Loop;

(Other) sage: [prime_pi(binomial(n, 3)) for n in xrange(2, 55)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 06 2009]

CROSSREFS

A000292

Sequence in context: A018600 A018408 A018320 this_sequence A010068 A120632 A007295

Adjacent sequences: A153192 A153193 A153194 this_sequence A153196 A153197 A153198

KEYWORD

nonn

AUTHOR

Harry J. Smith (hjsmithh(AT)sbcglobal.net), Dec 20 2008, Dec 22 2008

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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