A138594 Sums of 6 or more consecutive nonnegative integers.

15, 21, 27, 28, 33, 35, 36, 39, 42, 44, 45, 49, 51, 52, 54, 55, 56, 57, 60, 63, 65, 66, 68, 69, 70, 72, 75, 76, 77, 78, 81, 84, 85, 87, 88, 90, 91, 92, 93, 95, 98, 99, 100, 102, 104, 105, 108, 110, 111, 112, 114, 115, 116, 117, 119, 120, 121, 123, 124, 125, 126, 129

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, May 13 2008

Keywords

• nonn

Comments

Also, the numbers of the form s*k+A000217(k-1), s>=0, k>=6. [From R. J. Mathar, Jul 31 2008]

Examples

			0+1+2+3+4+5=15, 1+2+3+4+5+6=21, 2+3+4+5+6+7=27, 1+2+3+4+5+6+7=28, ...
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Programs

Maple

N:= 1000: # to get all terms <= N
sort(convert({seq(seq(b*(2*a+b-1)/2, a=0..floor(N/b - (b+1)/2)),
b=6..floor((sqrt(1+8*N)-1)/2))},list)); # Robert Israel, Mar 11 2016

Mathematica

Array[r,9];k=0;For[i=0,i<=77,a=i*5+10;For[j=i+5,j<=77,a=a+j;k++;r[k]=a;j++ ];i++ ];q=Union[Array[r,k]];StringTake[ToString[q],123]

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Mar 07 2010

Name edited by Robert Israel, Mar 11 2016