A090845 Let A denote the sequence; A is equal to the union of the self-convolutions A^2 and A^3, with terms in ascending order by size.

1, 1, 2, 3, 5, 9, 10, 20, 22, 40, 51, 67, 114, 126, 203, 230, 354, 468, 571, 885, 908, 1486, 1674, 2250, 3045, 3586, 5322, 5418, 8186, 9560, 12234, 16341, 17976, 26970, 27912, 38435, 46383, 57024, 76794, 80805, 116376, 125205, 165914, 201580, 232352

Offset

0,3

Comments

The occurrences of the terms of A^3 in A is given by A090846.

The self-convolution square equals A222082.

The self-convolution cube equals A222083.

Not equal to A262990.

Links

Paul D. Hanna, Table of n, a(n) for n = 0..10000

Example

A={1,1,2,3,5,9,10,20,22,40,51,...} since A is the sorted union of:
A^2={1,2,5,10,20,40,67,126,203,354,571,908,1486,2250,3586,...} and
A^3={1,3,9,22,51,114,230,468,885,1674,3045,5418,9560,16341,...}.

Prog

(PARI) {a(n)=local(A=[1, 1]); for(i=1, #binary(3*n+1), A=vecsort(concat(Vec(Ser(A)^2), Vec(Ser(A)^3)))); A[n+1]}
for(n=0, 60, print1(a(n), ", "))

Crossrefs

Cf. A090846, A222082 (A^2), A222083 (A^3).

Sequence in context: A057242 A273139 A303435 * A262990 A058108 A174512

Adjacent sequences: A090842 A090843 A090844 * A090846 A090847 A090848

Keyword

nonn

Author

Paul D. Hanna, Dec 09 2003

Status

approved