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A090234 Binomial transform gives a prime. +0
2
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 (list; graph; listen)
OFFSET

0,1

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); (Ronaldo)

CROSSREFS

Cf. A090235.

Adjacent sequences: A090231 A090232 A090233 this_sequence A090235 A090236 A090237

Sequence in context: A123349 A123352 A114163 this_sequence A007754 A144866 A058732

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 26 2003

EXTENSIONS

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

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.


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