A160244 A104449(n+1)+prime(n), sum of a Lucas and the prime sequence.

6, 8, 14, 21, 34, 50, 77, 116, 180, 283, 442, 702, 1117, 1784, 2864, 4611, 7434, 11994, 19375, 31312, 50622, 81869, 132422, 214218, 346565, 560698, 907168, 1467769, 2374836, 3842502, 6217243, 10059636, 16276758, 26336265, 42612896, 68949024

Offset: 1

Author

Enoch Haga, May 05 2009

Keywords

• easy
• nonn

Comments

A104449 could be called L31(n), the Lucas sequence starting with 3,1.

Crossrefs

Cf. A000285, A096362, A160243.

Programs

UBASIC

10 'Lucas variations (change value of A in line 30 as appropriate) 20 P=1 30 A=2 40 B=1 50 C=A+B:print C;:R=nxtprm(P):print R;:P=R:print C+R 51 if C=prmdiv(C) then print C;"*":U=U+1 52 if C+R=prmdiv(C+R) then print C+R;"#":V=V+1 60 D=B+C:print D;:R=nxtprm(P):print R;:P=R:print D+R 61 if D=prmdiv(D) then print D;"*":U=U+1 62 if D+R=prmdiv(D+R) then print D+R;"#":V=V+1 63 print U;V 70 stop 80 A=C:B=D:goto 50

Formula

a(n) = A000285(n)+A000040(n).

Extensions

Edited by R. J. Mathar, May 12 2009