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Binomial transform of A002024.
0

%I #8 Sep 01 2013 03:38:59

%S 1,3,7,16,36,79,170,362,767,1619,3402,7112,14797,30673,63427,130951,

%T 270031,556111,1143537,2347476,4810758,9843932,20118655,41081297,

%U 83832648,170987463,348581862,710242310,1446198858

%N Binomial transform of A002024.

%D R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 97.

%H F. Ellermann, <a href="/A001792/a001792.txt">Illustration of binomial transforms</a>

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%o (PARI) rep(n) = floor(1/2 + sqrt(2*n)); /* A002024 */

%o a(n) = sum(k = 0, n-1, binomial(n-1, k) * rep(k+1)); \\ _Michel Marcus_, Aug 31 2013

%Y Cf. A001792, A002024.

%K easy,nonn

%O 1,2

%A Robert A. Stump (bee_ess107(AT)yahoo.com), Dec 09 2001