

A226383


Numbers for which there is at least one 3smooth representation that is special of level k.


2



5, 7, 11, 19, 19, 23, 29, 31, 35, 37, 47, 49, 53, 65, 65, 67, 73, 79, 85, 85, 89, 89, 97, 101, 103, 119, 121, 121, 125, 131, 133, 143, 143, 149, 151, 157, 161, 169, 175, 179, 185, 185, 197, 205, 211, 211, 215, 221, 223, 227, 233, 239, 251, 259, 259, 259, 269, 271, 275, 277, 283, 287, 287, 289, 313, 313, 319, 323, 323
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OFFSET

0,1


COMMENTS

These numbers are of the form 3^k*2^0 + 3^{k1}*2^{a_1} + ... + 3^1*2^{a_{k1}} + 3^0*2^{a_k} in which every power 3^i appears, 0 <= i <= k, and where a_i satisfies a_0 = 0, a_0 < a_1 < ... < a_k.


REFERENCES

Kenneth Vollmar, Recursive calculation of 3smooth representations special of level k, To be submitted mid2013.


LINKS

Table of n, a(n) for n=0..68.
R. Blecksmith, M. McCallum and J. L. Selfridge, 3smooth representations of integers, Amer. Math. Monthly, 105 (1998), 529543.


CROSSREFS

Cf. A213539, A003586.
Sequence in context: A260828 A280651 A089785 * A118386 A240849 A116641
Adjacent sequences: A226380 A226381 A226382 * A226384 A226385 A226386


KEYWORD

nonn


AUTHOR

Kenneth Vollmar, Jun 05 2013


STATUS

approved



