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A182390
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a(0)=0, a(n) = (a(n-1) * n) XOR n.
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2
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0, 1, 0, 3, 8, 45, 264, 1855, 14832, 133497, 1334960, 14684571, 176214856, 2290793125, 32071103752, 481066556279, 7697064900448, 130850103307633, 2355301859537376, 44750735331210163, 895014706624203240, 18795308839108268061, 413496794460381897320
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history;
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OFFSET
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0,4
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COMMENTS
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For 0<n<12, a(n)=A000240(n-1).
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LINKS
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Harvey P. Dale, Table of n, a(n) for n = 0..450
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FORMULA
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a(0)=0, a(n) = (a(n-1) * n) XOR n, where XOR is the bitwise exclusive-OR operator.
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MATHEMATICA
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nxt[{n_, a_}]:={n+1, BitXor[a(n+1), n+1]}; NestList[nxt, {0, 0}, 30][[;; , 2]] (* Harvey P. Dale, Mar 14 2023 *)
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PROG
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(Python)
a=0
for i in range(1, 55):
. print a,
. a *= i
. a ^= i
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CROSSREFS
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Cf. A182249, A000240.
Sequence in context: A039647 A071533 A000240 * A132103 A334316 A180508
Adjacent sequences: A182387 A182388 A182389 * A182391 A182392 A182393
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KEYWORD
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nonn,base,changed
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AUTHOR
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Alex Ratushnyak, Apr 27 2012
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STATUS
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approved
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