A138001 Numbers not representable as sum of elements of A138000.

1, 4, 6, 8, 15, 17, 19, 22, 24, 25, 26, 27, 28, 30, 33, 35, 37, 44, 46, 48, 51, 54, 57, 59, 61, 68, 70, 72, 75, 77, 78, 79, 80, 81, 83, 86, 88, 90, 97, 99, 101, 104, 106, 108, 111, 113, 115, 122, 124, 126, 129, 131, 132, 133, 134, 135, 137, 140, 142, 144, 151, 153, 155

Offset: 1

Author

M. F. Hasler, Apr 09 2008

Keywords

• nonn

Comments

Let R(0)={0} and for n>0, R(n) = R(n-1) union A138000(n)+R(n-1) be the numbers which can be written as sum of some subset of {A138000(1),...,A138000(n)}. A138001 is then the complement of R=union( R(n), n>0) in N.

Examples

			A138000=(2,3,7,11,...) and increasing, thus 1,4,6,8,... cannot be written as sum of elements of A138000. To get the numbers which have to be omitted, construct the sets R(1),R(2),... as defined in the comment.
		

Crossrefs

Cf. A138000, A064934, A003158.

Programs

PARI

s=p=q=1; for( n=1,9, while( bitand( s, s>>p=nextprime(p+1)),); s+=s<p, bittest( s,q ) || print1( q",")))

Formula

A138001 = N \ { A138000(k[1])+...+ A138000(k[m]) ; m>=0, 0

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