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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

%I #24 Sep 15 2019 15:17:18

%S 3,5,9,17,33,65,125,185,479,935,1871,1865,5951,6255,16089,53785,

%T 111849,75845,235803,193885,907073,3121781,5184587,2975585,11702809,

%U 34407995,65080897,194524197,426252517,177170275,575177619,304926565,1364583697,6119099733,11856301081,47929392717,111211995629

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

%C Column 2 of A205542.

%e 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.

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

%K nonn

%O 0,1

%A _R. H. Hardin_, Jan 28 2012

%E Value range in title corrected by _Aaron Meyerowitz_, Jun 13 2014

%E a(21)-a(36) from _Bert Dobbelaere_, Sep 15 2019

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Last modified March 28 11:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)