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A182390
a(0)=0, a(n) = (a(n-1) * n) XOR n.
2
0, 1, 0, 3, 8, 45, 264, 1855, 14832, 133497, 1334960, 14684571, 176214856, 2290793125, 32071103752, 481066556279, 7697064900448, 130850103307633, 2355301859537376, 44750735331210163, 895014706624203240, 18795308839108268061, 413496794460381897320
OFFSET
0,4
COMMENTS
For 0<n<12, a(n)=A000240(n-1).
LINKS
FORMULA
a(0)=0, a(n) = (a(n-1) * n) XOR n, where XOR is the bitwise exclusive-OR operator.
MATHEMATICA
nxt[{n_, a_}]:={n+1, BitXor[a(n+1), n+1]}; NestList[nxt, {0, 0}, 30][[;; , 2]] (* Harvey P. Dale, Mar 14 2023 *)
PROG
(Python)
a=0
for i in range(1, 55):
. print a,
. a *= i
. a ^= i
CROSSREFS
Sequence in context: A071533 A361716 A000240 * A132103 A334316 A180508
KEYWORD
nonn,base
AUTHOR
Alex Ratushnyak, Apr 27 2012
STATUS
approved