A086946 -id:A086946 - cp's OEIS frontend

A086497 Primes arising in A086496. a(n) = Sum {A086946(k), k = 1 to 2n}= 2n-th partial sum of A086496.

3, 11, 23, 41, 59, 83, 107, 137, 173, 223, 263, 311, 359, 419, 479, 541, 601, 673, 751, 827, 911, 1009, 1097, 1193, 1289, 1399, 1511, 1621, 1733, 1861, 1973, 2099, 2237, 2377, 2521, 2659, 2797, 2953, 3109, 3257, 3433, 3607, 3779, 3947, 4127, 4327, 4507

Offset: 1

Amarnath Murthy, Jul 28 2003

nonn

Cf. A086496, A086498, A096499.

More terms from Ray Chandler, Sep 16 2003

A086949 Numbers k such that R(k+9) = 5.

Original entry on oeis.org

41, 491, 4991, 49991, 499991, 4999991, 49999991, 499999991, 4999999991, 49999999991, 499999999991, 4999999999991, 49999999999991, 499999999999991, 4999999999999991, 49999999999999991, 499999999999999991, 4999999999999999991, 49999999999999999991, 499999999999999999991

Offset: 1

Ray Chandler, Jul 24 2003

Vincenzo Librandi, Table of n, a(n) for n = 1..300
Index entries for linear recurrences with constant coefficients, signature (11,-10).

Cf. A004086, A086946.

[5*10^n-9: n in [1..25] ]; // Vincenzo Librandi, Aug 22 2011

5*10^Range[20]-9 (* Harvey P. Dale, Nov 29 2018 *)

a(n) = 5*10^n - 9.
R(a(n)) = A086946(n).
From Stefano Spezia, Dec 15 2022: (Start)
O.g.f.: x*(41 + 40*x)/((1 - x)*(1 - 10*x)).
E.g.f.: 4 - 9*exp(x) + 5*exp(10*x).
a(n) = 11*a(n-1) - 10*a(n-2) for n > 2. (End)

cp's OEIS Frontend

A086497 Primes arising in A086496. a(n) = Sum {A086946(k), k = 1 to 2n}= 2n-th partial sum of A086496.

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A086949 Numbers k such that R(k+9) = 5.

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