OFFSET
0,2
COMMENTS
These numbers are of the form 3^k*2^{a_0} + 3^{k-1}*2^{a_1} + ... + 3^1*2^{a_{k-1}} + 3^0*2^{a_k} in which every power 3^i appears, 0 <= i <= k, and where a_i satisfies 0 <= a_0 < a_1 < ... < a_k.
These values are those of sequence A116640 in addition to any multiple of two of elements of this sequence. - Kenneth Vollmar, Jun 05 2013
REFERENCES
Kenneth Vollmar, Recursive calculation of 3-smooth representations special of level k, To be submitted mid-2013.
LINKS
R. Blecksmith, M. McCallum and J. L. Selfridge, 3-smooth representations of integers, Amer. Math. Monthly, 105 (1998), 529-543.
EXAMPLE
n=19 has two 3-smooth representations that are special of level k. At k=1, 19 = 3^1*2^0 + 3^0*2^4. At k=2, 19 = 3^2*2^0 + 3^1*2^1 + 3^0*2^2.
CROSSREFS
KEYWORD
nonn
AUTHOR
Kenneth Vollmar, Mar 03 2013
EXTENSIONS
Corrected a reference to another sequence and added cross references - Joe Slater, Dec 19 2016
STATUS
approved