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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 (list; graph; refs; listen; history; text; internal format)
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: A297300 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

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Last modified August 15 01:47 EDT 2020. Contains 336485 sequences. (Running on oeis4.)