A205537 Number of distinct values of Sum_{i=0..n} x(i)*binomial(n,i), where the x(i) have values in 0..2.

3, 5, 9, 17, 33, 65, 125, 185, 479, 935, 1871, 1865, 5951, 6255, 16089, 53785, 111849, 75845, 235803, 193885, 907073, 3121781, 5184587, 2975585, 11702809, 34407995, 65080897, 194524197, 426252517, 177170275, 575177619, 304926565, 1364583697, 6119099733, 11856301081, 47929392717, 111211995629

Offset

0,1

Comments

Column 2 of A205542.

Links

Table of n, a(n) for n=0..36.

Example

Using the entries 1,3,3,1 from the fourth row of Pascal's triangle up to twice each, we can get exactly the integers from 0 to 16 inclusive, hence a(3)=17.

Crossrefs

Cf. A205536, A205538, A205539, A205540, A205541, A205542.

Sequence in context: A364543 A213005 A171856 * A135728 A083318 A127904

Adjacent sequences: A205534 A205535 A205536 * A205538 A205539 A205540

Keyword

nonn

Author

R. H. Hardin, Jan 28 2012

Extensions

Value range in title corrected by Aaron Meyerowitz, Jun 13 2014

a(21)-a(36) from Bert Dobbelaere, Sep 15 2019

Status

approved