A228891 Let A = A050376. Let Q be the smallest term of A more than 1 + Product_{i=1..n} A(i). a(n) = Q - Product_{i=1..n} A(i).

2, 3, 5, 7, 13, 13, 17, 17, 17, 41, 59, 29, 41, 53, 37, 67, 79, 61, 89, 101, 139, 71, 67, 83, 151, 101, 89, 127, 163, 137, 101, 103, 131, 181, 139, 139, 181, 181, 139, 317, 191, 313, 163, 197, 199, 389, 191, 233, 229, 337, 239, 229, 347, 881, 239, 283, 487

Offset: 1

Author

Vladimir Shevelev, Sep 07 2013

Keywords

• nonn

Comments

This sequence is a Fermi-Dirac analog of the Fortunate numbers (A005235).

Examples

			a(1) = 2, since 1 + Product_{i=1} A(i) = 1 + 2 = 3, the smallest term Q of A050376 more than 3 is 4 and a(1) = 4-2 = 2; let n=4, then 1 + Product_{i=1..4} A(i) = 1 + 2*3*4*5 = 121 and the smallest term Q of A050376 more than 121 is 127. So a(4) = 127 - 120 = 7.
		

Links

• Peter J. C. Moses, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A005235, A050376.

Extensions

More terms from Peter J. C. Moses, Sep 10 2013