A255136 -id:A255136 - cp's OEIS frontend

A255134 First differences of A097764.

12, 11, 9, 28, 36, 44, 52, 20, 40, 68, 76, 84, 92, 100, 53, 55, 116, 124, 132, 140, 148, 156, 128, 36, 172, 180, 188, 196, 204, 212, 209, 11, 228, 11, 225, 244, 252, 260, 268, 276, 284, 292, 300, 56, 252, 316, 324, 332, 340, 348, 356, 364, 372, 380, 45, 343

Offset: 1

Reinhard Zumkeller, Feb 14 2015

nonn

a(n) = A097764(n+1) - A097764(n);
conjecture: a(n) > 1; empirically: Min{a(n): 1 <= n <= 10^7} = 9;
a(A255137(n)) = A255136(n) and a(m) < A255136(n) for m < A255137(n).

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A097764, record values and where they occur: A255136, A255137.

a255134 n = a255134_list !! (n-1)
a255134_list = zipWith (-) (tail a097764_list) a097764_list

nMax = 10000; n = 1; lst = Reap[While[p = Prime[n]; p^p <= nMax, k = 1; While[(k*p)^p <= nMax, Sow[(k*p)^p]; k++]; n++]][[2, 1]]; Union[lst] // Differences (* Jean-François Alcover, Oct 20 2016, after T. D. Noe *)

A255137 Where records occur in A255134.

Original entry on oeis.org

1, 4, 5, 6, 7, 10, 11, 12, 13, 14, 17, 18, 19, 20, 21, 22, 25, 26, 27, 28, 29, 30, 33, 36, 37, 38, 39, 40, 41, 42, 43, 46, 47, 48, 49, 50, 51, 52, 53, 54, 57, 58, 59, 60, 61, 62, 63, 64, 65, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 81, 82, 83, 84, 85, 86

Offset: 1

Reinhard Zumkeller, Feb 15 2015

nonn

A255134(a(n)) = A255136(n) and A255134(m) < A255136(n) for m < a(n).

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A255136, A255134, A097764.

a255137 n = a255137_list !! (n-1)  -- a255137_list is defined in A255136.

cp's OEIS Frontend

A255134 First differences of A097764.

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