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A205537
Number of distinct values of Sum_{i=0..n} x(i)*binomial(n,i), where the x(i) have values in 0..2.
5
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.
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
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