A090847 Let A denote the sequence; then A is equal to the union of the self-convolutions A^2 and A^4, with terms in ascending order by size, where a(0)=1.

1, 1, 2, 4, 5, 12, 14, 22, 44, 50, 88, 117, 160, 308, 309, 508, 740, 912, 1518, 1700, 2470, 3822, 4280, 6606, 8164, 10764, 17158, 17204, 26276, 35020, 42238, 63260, 69664, 97028, 136920, 149924, 219665, 262376, 335600, 493344, 496312, 724942, 925277

Offset

0,3

Comments

The occurrences of the terms of A^4 in A is given by A090848. Given A(m)=A^4(n), then what is the limit m/n as n grows? Example: at n=2000, m/n=3202/2000=2.616, at n=3000, m/n=7849/3000=2.6163...

Links

Table of n, a(n) for n=0..42.

Example

A={1,1,2,4,5,12,14,22,44,50,88,117,...} since A is the sorted union of:
A^2={1,2,5,12,22,50,88,160,309,508,912,1518,2470,4280,6606,10764,...} and
A^4={1,4,14,44,117,308,740,1700,3822,8164,17158,35020,69664,136920,...}.

Crossrefs

Cf. A090845, A090848.

Sequence in context: A344712 A351753 A268530 * A318780 A056984 A117556

Adjacent sequences: A090844 A090845 A090846 * A090848 A090849 A090850

Keyword

nonn

Author

Paul D. Hanna, Dec 09 2003

Status

approved