A182538 a(n) = (a(n-1) AND a(n-2)) + n.

0, 1, 2, 3, 6, 7, 12, 11, 16, 9, 10, 19, 14, 15, 28, 27, 40, 25, 26, 43, 30, 31, 52, 43, 56, 65, 26, 27, 54, 47, 68, 35, 32, 65, 34, 35, 70, 39, 44, 75, 48, 41, 74, 51, 46, 79, 60, 59, 104, 89, 122, 139, 62, 63, 116, 107, 152, 65, 58, 59, 118, 111, 164, 99, 96, 161, 98, 99, 166, 103

Offset: 0

Author

Alex Ratushnyak, May 04 2012

Keywords

• nonn
• base
• look
• easy

Links

• Iain Fox, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A182536.

Programs

PARI

first(n)=my(res=vector(n,i,i-1)); for(x=3, n, res[x]=bitand(res[x-1],res[x-2])+x-1); res \\ Iain Fox, Nov 05 2018

Python

prpr, prev = 0,1
for n in range(2,99):
  current = (prpr & prev) + n
  print(prpr, end=', ')
  prpr, prev = prev, current

Formula

a(0)=0, a(1)=1, a(n)=(a(n-1) AND a(n-2)) + n, where AND is the bitwise AND operator.