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A137905 Numbers that appear as binomial coefficients exactly twice. 4

%I #29 Jun 25 2019 02:51:17

%S 3,4,5,7,8,9,11,12,13,14,16,17,18,19,22,23,24,25,26,27,29,30,31,32,33,

%T 34,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,57,58,59,60,61,

%U 62,63,64,65,67,68,69,71,72,73,74,75,76,77,79,80,81,82,83,85,86,87,88

%N Numbers that appear as binomial coefficients exactly twice.

%C Complement of A006987; a(n) = A058084(a(n)). - _Reinhard Zumkeller_, Mar 20 2009

%F a(n) = A185024(n+1). - _Elijah Beregovsky_, May 14 2019

%e 7 is a member because 7 = binomial(7, 1) = binomial(7, 6) and no other binomial coefficient equals 7. [clarified by _Jonathan Sondow_, Jan 12 2018]

%o (PARI) isok(n) = (sum(i=0, n, sum(j=0, i, binomial(i,j)==n)) == 2) \\ _Michel Marcus_, Jun 16 2013

%Y Cf. A006987, A058084, A062527, A098564, A098566.

%K easy,nonn

%O 1,1

%A _David Wasserman_, Feb 21 2008

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Last modified April 16 18:22 EDT 2024. Contains 371750 sequences. (Running on oeis4.)