A065979 Binomial transform of A002024.

1, 3, 7, 16, 36, 79, 170, 362, 767, 1619, 3402, 7112, 14797, 30673, 63427, 130951, 270031, 556111, 1143537, 2347476, 4810758, 9843932, 20118655, 41081297, 83832648, 170987463, 348581862, 710242310, 1446198858

Offset

1,2

References

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

Links

Table of n, a(n) for n=1..29.

F. Ellermann, Illustration of binomial transforms

N. J. A. Sloane, Transforms

Prog

(PARI) rep(n) = floor(1/2 + sqrt(2*n)); /* A002024 */
a(n) = sum(k = 0, n-1, binomial(n-1, k) * rep(k+1)); \\ Michel Marcus, Aug 31 2013

Crossrefs

Cf. A001792, A002024.

Sequence in context: A099325 A026778 A023523 * A106463 A238441 A173514

Adjacent sequences: A065976 A065977 A065978 * A065980 A065981 A065982

Keyword

easy,nonn

Author

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

Status

approved