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 A006987 Binomial coefficients: C(n,k), 2 <= k <= n-2, sorted, duplicates removed. (Formerly M4084) 27
 6, 10, 15, 20, 21, 28, 35, 36, 45, 55, 56, 66, 70, 78, 84, 91, 105, 120, 126, 136, 153, 165, 171, 190, 210, 220, 231, 252, 253, 276, 286, 300, 325, 330, 351, 364, 378, 406, 435, 455, 462, 465, 495, 496, 528, 560, 561, 595, 630, 666, 680, 703, 715, 741, 780, 792, 816, 820 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Complement of A137905; a(n) > A058084(a(n)). - Reinhard Zumkeller, Mar 20 2009 Or numbers l which, for the first time, appear in m-th row of the Pascal triangle for m < l. - Vladimir Shevelev, Apr 28 2010 Appears to be the set of simplex numbers of order > 2 and dimension > 1. - Dylan Hamilton, Nov 05 2010 This is correct (assuming the notational choice of giving the first n-simplicial number index 1), as the n-th diagonal or antidiagonal of Pascal's triangle gives the n-simplicial numbers. - Thomas Anton, Dec 04 2018 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe) R. G. Wilson v, Letter to N. J. A. Sloane, Nov. 1988 R. G. Wilson v, Letter to N. J. A. Sloane, Jan. 1989 EXAMPLE Pascal's triangle (A007318) with the outer two layers removed: 6 10 10 15 20 15 21 35 35 21 28 56 70 56 28 36 84 126 126 84 36 ... MATHEMATICA Take[ Union[ Flatten[ Table[ Binomial[n, k], {n, 2, 45}, {k, 2, n - 2}]]], 58] (* Robert G. Wilson v, May 25 2004 *) PROG (PARI) list(lim)=my(v=List(), t); for(n=4, sqrtint(2*lim)+1, for(k=2, n\2, t=binomial(n, k); if(t>lim, break, listput(v, t)))); vecsort(Vec(v), , 8) \\ Charles R Greathouse IV, Apr 03 2012 CROSSREFS Cf. A002808, A007318. Sequence in context: A315248 A315249 A319382 * A182237 A337612 A315250 Adjacent sequences: A006984 A006985 A006986 * A006988 A006989 A006990 KEYWORD nonn AUTHOR N. J. A. Sloane, Robert G. Wilson v EXTENSIONS More terms from David W. Wilson Spelling corrected by Jason G. Wurtzel, Aug 22 2010 STATUS approved

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Last modified June 6 17:41 EDT 2023. Contains 363149 sequences. (Running on oeis4.)