A119362 - cp's OEIS frontend

A119362 Combinatorial twin prime formulas. This sequence gives the coefficients a(n) of combinatorial sum formulas of n-th twin primes or lesser: twin_prime(n) = 2^(n-6)/(n-1)! Sum_{i=1..n} a(i) * C(n-1,i-1) * (i+2-n).

n	a(n)
1	32
2	8
3	32
4	52
5	208
6	508
7	2672
8	9278
9	71168
10	258772
11	2448352
12	11401798
13	123001112
14	660768362
15	7257835148
16	50721144013
17	643561620832
18	4610932367548
19	57562797069608
20	547637465534282
21	7281278491404272
22	71412114145523938

[32, 8, 32, 52, 208, 508, 2672, 9278, 71168, 258772, 2448352, 11401798, 123001112, 660768362, 7257835148, 50721144013, 643561620832, 4610932367548, 57562797069608, 547637465534282, 7281278491404272, 71412114145523938]

cp's OEIS Frontend

A119362 Combinatorial twin prime formulas. This sequence gives the coefficients a(n) of combinatorial sum formulas of n-th twin primes or lesser: twin_prime(n) = 2^(n-6)/(n-1)! Sum_{i=1..n} a(i) * C(n-1,i-1) * (i+2-n).

Table of values

List of values