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 A160794 Vertex number of a rectangular spiral related to Fibonacci numbers and prime numbers. The distances between nearest edges of the spiral that are parallel to the initial edge are the Fibonacci numbers, while the distances between nearest edges perpendicular to the initial edge are the prime numbers. 2
 0, 1, 2, 5, 7, 13, 17, 28, 35, 53, 65, 94, 114, 156, 189, 248, 302, 380, 468, 569, 712, 842, 1074, 1235, 1611, 1809, 2418, 2657, 3643, 3925, 5521, 5850, 8433, 8815, 12995, 13436, 20200, 20702, 31647, 32216, 49926, 50566, 79222, 79935, 126302, 127094, 202118 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Nathaniel Johnston, Table of n, a(n) for n = 0..1000 FORMULA a(2n) = a(2n-1) + Sum_{j=1..n} Fibonacci(j); a(2n+1) = a(2n) + 1 + Sum_{j=1..n} prime(j) for n >= 1. - Nathaniel Johnston, Jun 16 2011 MAPLE A160794 := proc(n) option remember: if(n<=1)then return n: fi: if(n mod 2 = 0)then return procname(n-1)+add(combinat[fibonacci](j), j=1..n/2): fi: return procname(n-1)+add(ithprime(j), j=1..floor(n/2))+1: end: seq(A160794(n), n=0..46); # Nathaniel Johnston, Jun 16 2011 CROSSREFS Cf. A000040, A000045, A160790, A160792. Sequence in context: A222532 A144256 A082555 * A092059 A260388 A169586 Adjacent sequences:  A160791 A160792 A160793 * A160795 A160796 A160797 KEYWORD easy,nonn AUTHOR Omar E. Pol, May 29 2009 EXTENSIONS Terms after a(12) and edited by Nathaniel Johnston, Jun 16 2011 STATUS approved

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Last modified January 23 04:16 EST 2020. Contains 331168 sequences. (Running on oeis4.)