A175376 Partial sums of A175375.
1, 7, 19, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 33, 57, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 93, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125
Offset: 0
Keywords
Links
- Robert Israel, Table of n, a(n) for n = 0..10000
Programs
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Maple
N:= 100: # to get a(1)..a(N) A:= Array(0..N): for i from 0 while i^4 <= N do if i=0 then ai:= 1 else ai:= 2 fi; for j from 0 while i^4 + j^4 <= N do if j=0 then aj:= 1 else aj:= 2 fi; for k from 0 do v:= i^4 + j^4 + k^4; if v > N then break fi; if k = 0 then ak:= 1 else ak:= 2 fi; A[v]:= A[v] + ai*aj*ak; od od od: ListTools:-PartialSums(convert(A,list)); # Robert Israel, May 01 2019
Formula
G.f.: (1 + 2*Sum_{j>0} x^(j^4))^3/(1-x). - Robert Israel, May 01 2019
Comments