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

Author

Paul D. Hanna, Dec 09 2003

Keywords

• nonn

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.

Examples

			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,...}.
		

Links

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

Crossrefs

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

Programs

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),", "))