login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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