A090234 Binomial transform gives a prime.

2, 1, 1, 3, 5, 1, 3, 1, 5, 11, 15, 1, 1, 21, 5, 11, 3, 1, 43, 9, 17, 13, 1, 1, 9, 7, 41, 23, 21, 25, 27, 9, 3, 1, 9, 3, 13, 11, 19, 3, 1, 35, 1, 23, 29, 5, 11, 27, 1, 39, 15, 9, 47, 75, 73, 11, 61, 1, 57, 3, 93, 57, 117, 69, 7, 93, 51, 33, 97, 143, 87, 65, 261, 15, 23, 39, 29, 55, 45, 47

Offset

0,1

Links

Table of n, a(n) for n=0..79.

Example

For n = 3 we have (2,1,1,3).(1,3,3,1) = 2*1 + 1*3 + 1*3 + 3*1 = 11 is a prime.

Maple

a:=[]: for n from 0 to 100 do m:=add(a[i+1]*binomial(n, i), i=0..n-1): a:=[op(a), nextprime(m)-m] od: op(a); # C. Ronaldo

Crossrefs

Cf. A090235.

Sequence in context: A279636 A290569 A230698 * A286380 A275866 A007754

Adjacent sequences: A090231 A090232 A090233 * A090235 A090236 A090237

Keyword

nonn

Author

Amarnath Murthy, Nov 26 2003

Extensions

More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Dec 26 2004

Status

approved