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A274094
a(0)=0; thereafter (-1)^(n+1)*n appears n times.
2
0, 1, -2, -2, 3, 3, 3, -4, -4, -4, -4, 5, 5, 5, 5, 5, -6, -6, -6, -6, -6, -6, 7, 7, 7, 7, 7, 7, 7, -8, -8, -8, -8, -8, -8, -8, -8, 9, 9, 9, 9, 9, 9, 9, 9, 9, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12
OFFSET
0,3
MAPLE
s1:=[0];
for n from 1 to 15 do
for i from 1 to n do
s1:=[op(s1), (-1)^(n+1)*n]; od: od:
s1;
MATHEMATICA
Join[{0}, Flatten[Table[(-1)^(n+1)*n, {n, 15}, {n}]]] (* Paolo Xausa, Sep 30 2024 *)
PROG
(Python)
A274094_list = [0]+ [i for n in range(1, 142) for i in [n if n % 2 else -n]*n] # Chai Wah Wu, Jun 11 2016
(Python)
from math import isqrt
def A274094(n): return m if (m:=isqrt(n<<3)+1>>1)&1 else -m # Chai Wah Wu, Nov 05 2024
CROSSREFS
Partial sums of A010816.
Sequence in context: A033810 A253272 A023965 * A274093 A087847 A107436
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Jun 10 2016
STATUS
approved