A070884 7 + x where x is congruent to {0, 4, 6, 10, 12, 16, 22, 24} mod 30.

7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 49, 53, 59, 61, 67, 71, 73, 77, 79, 83, 89, 91, 97, 101, 103, 107, 109, 113, 119, 121, 127, 131, 133, 137, 139, 143, 149, 151, 157, 161, 163, 167, 169, 173, 179, 181, 187, 191, 193, 197, 199, 203, 209, 211, 217, 221

Offset

0,1

Comments

Sequence contains many primes.

A007775 without the first term. Strictly speaking, the sequence should include the 1, because 1=7-6 and -6 = 24 mod 30. [From R. J. Mathar, Sep 25 2008]

Links

Table of n, a(n) for n=0..57.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,1,-1).

Formula

G.f.: ( 7+4*x+2*x^2+4*x^3+2*x^4+4*x^5+6*x^6+2*x^7-x^8 ) / ( (1+x)*(x^2+1)*(x^4+1)*(x-1)^2 ). - R. J. Mathar, Sep 22 2016

Example

7+0=7, 7+4=11, 7+6=13, 7+10=17, 7+12=19, 7+16=23, ...

Prog

(Perl) $a = 0; while ((($a % 30 == 0 or $a % 30 == 4 or $a % 30 == 6 or $a % 30 == 10 or $a % 30 == 12 or $a % 30 == 16 or $a % 30 == 22 or $a % 30 == 24) and eval("print \"\".(7+\$a).\" \"; return 0; ")) or ++$a) { }

Crossrefs

Sequence in context: A322272 A161850 A007775 * A135777 A090459 A090417

Adjacent sequences: A070881 A070882 A070883 * A070885 A070886 A070887

Keyword

easy,nonn

Author

Timothy McAlee Sr., May 24 2002

Extensions

More terms from Jim McCann (jmccann(AT)umich.edu), Jul 17 2002

Status

approved