A119350 First differences of A118374.

1, 1, 4, 1, 1, 1, 1, 6, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 10, 1, 1, 4, 1, 1, 1, 1, 6, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 18, 1, 1, 4, 1, 1, 1, 1, 6, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 10, 1, 1, 4, 1, 1, 1, 1, 6, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset: 1

Author

John W. Layman, May 23 2006

Keywords

• nonn

Crossrefs

Cf. A118374, A114889, A114890.

Formula

Conjecture. Define g(1)=1 and, for i>1, g(i)=2*g(i-1)+2^(i-2). Also define h(1)=1, h(2)=4 and, for i>2, h(i)=h(i-1)+2^(i-2). Then a(n)=h(i) if n=g(i), a(n)=1 if g(i)-2^(i-2)<=n

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