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

1,1

Comments

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

Links

Table of n, a(n) for n=1..36.

Formula

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

Prog

(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

Crossrefs

Cf. A000285, A096362, A160243.

Sequence in context: A315915 A315916 A108028 * A315917 A315918 A199766

Adjacent sequences: A160241 A160242 A160243 * A160245 A160246 A160247

Keyword

easy,nonn

Author

Enoch Haga, May 05 2009

Extensions

Edited by R. J. Mathar, May 12 2009

Status

approved