cp's OEIS Frontend

A377170 Sum of the nonnegative terms in the n-th row of A365968.

%I A377170 #33 Jun 15 2025 19:32:07
%S A377170 0,1,4,12,36,98,250,616,1484,3508,8140,18620,42164,94632,210518,
%T A377170 464840,1020556,2229014,4843316,10476164,22576728,48489154,103790370,
%U A377170 221484824,471427432,1001027226,2120503144,4482083616,9455815160,19913405076,41862056992,87857540836
%N A377170 Sum of the nonnegative terms in the n-th row of A365968.
%C A377170 By symmetry -a(n) is the sum of the nonpositive terms in the n-th row of A365968.
%H A377170 Alois P. Heinz, <a href="/A377170/b377170.txt">Table of n, a(n) for n = 0..1000</a>
%F A377170 a(n) = (1/2) * Sum_{k=0..2^n-1} abs(A365968(n,k)).
%F A377170 a(n) = (1/2) * Sum_{i=0..2^n-1} abs(A384868(i+2^n-1)). - _Alois P. Heinz_, Jun 13 2025
%e A377170 The 4th row of A365968 is: [-10, -8, -6, -4, -4, -2, 0, 2, -2, 0, 2, 4, 4, 6, 8, 10], so a(4) = 2 + 2 + 4 + 4 + 6 + 8 + 10 = 36.
%p A377170 b:= proc(n, s) option remember; `if`(n=0, s,
%p A377170       b(n-1, abs(s-n))+b(n-1, s+n))
%p A377170     end:
%p A377170 a:= n-> b(n, 0)/2:
%p A377170 seq(a(n), n=0..31);  # _Alois P. Heinz_, Jun 13 2025
%Y A377170 Cf. A000079, A365968, A367076, A384868.
%K A377170 nonn,easy
%O A377170 0,3
%A A377170 _John Tyler Rascoe_, Oct 18 2024