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A182437
a(0)=0, a(n) = (a(n-1) XOR n) * (n+1).
0
0, 2, 0, 12, 40, 270, 1848, 14840, 133488, 1334970, 14684560, 176214852, 2290793128, 32071103750, 481066556280, 7697064900464, 130850103307616, 2355301859537394, 44750735331210144, 895014706624203260, 18795308839108268040, 413496794460381897342
OFFSET
0,2
COMMENTS
for n<12, a(n)=A180189(n).
FORMULA
a(0)=0, for n>0, a(n) = (a(n-1) XOR n) * (n+1).
MATHEMATICA
nxt[{n_, a_}]:={n+1, BitXor[a, n+1](n+2)}; NestList[nxt, {0, 0}, 30][[All, 2]] (* Harvey P. Dale, Nov 01 2017 *)
PROG
(Python)
a=0
for i in range(1, 55):
print a,
a ^= i
a *= i+1
CROSSREFS
Sequence in context: A074001 A228621 A180189 * A326860 A013316 A353222
KEYWORD
nonn,base
AUTHOR
Alex Ratushnyak, Apr 28 2012
STATUS
approved