A121567 -id:A121567 - cp's OEIS frontend

A121568 Fibonacci[ (p - 1)/2 ], where p = Prime[n].

1, 1, 2, 5, 8, 21, 34, 89, 377, 610, 2584, 6765, 10946, 28657, 121393, 514229, 832040, 3524578, 9227465, 14930352, 63245986, 165580141, 701408733, 4807526976, 12586269025, 20365011074, 53316291173, 86267571272, 225851433717

Offset: 2

Alexander Adamchuk, Aug 07 2006

nonn

p = Prime[n] divides a(n) = Fibonacci[(p-1)/2] for p = {29,41,61,89,101,109,149,181,229,241,269,281,349,381,...} = A033205[n] Primes of form x^2+5*y^2 excluding A033205[1] = 5.

Cf. A000045, A121567, A033205, A045468, A064739.

Table[Fibonacci[(Prime[n]-1)/2],{n,2,50}]

a(n) = Fibonacci[ (Prime[n]-1)/2 ], n>1.

A121569 a(n) = Fibonacci((prime(n)+3)/2) - 1.

Original entry on oeis.org

1, 2, 4, 12, 20, 54, 88, 232, 986, 1596, 6764, 17710, 28656, 75024, 317810, 1346268, 2178308, 9227464, 24157816, 39088168, 165580140, 433494436, 1836311902, 12586269024, 32951280098, 53316291172, 139583862444, 225851433716

Offset: 2

Alexander Adamchuk, Aug 08 2006

nonn

p = Prime[n] divides a(n) for p = {29,89,101,181,229,349,401,461,509,521,541,709,761,769,809,...} = A047650[n] Primes for which golden mean tau is a quadratic residue or Primes of the form x^2+20y^2.

Cf. A000045, A121567, A121568, A033205, A045468, A064739, A047650.

Table[Fibonacci[(Prime[n]+3)/2]-1,{n,2,50}]

a(n) = Fibonacci[ (Prime[n]+3)/2 ] - 1, n>1. a(n) = Sum[ Fibonacci[k], {k,1,(p-1)/2} ], p = Prime[n], n>1.

cp's OEIS Frontend

A121568 Fibonacci[ (p - 1)/2 ], where p = Prime[n].

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