The On-Line Encyclopedia of Integer Sequences (OEIS)

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A090234

Binomial transform gives a prime.
(history; published version)

#5 by Jon E. Schoenfield at Tue Aug 15 01:36:00 EDT 2017

STATUS

editing

approved

#4 by Jon E. Schoenfield at Tue Aug 15 01:35:57 EDT 2017

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)

STATUS

approved

editing

#3 by N. J. A. Sloane at Thu Dec 05 19:56:36 EST 2013

AUTHOR

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

Discussion

Thu Dec 05

19:56

OEIS Server: https://oeis.org/edit/global/2075

#2 by N. J. A. Sloane at Sun Feb 20 03:00:00 EST 2005

DATA

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

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)

KEYWORD

more,nonn,new

nonn

EXTENSIONS

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

#1 by N. J. A. Sloane at Thu Feb 19 03:00:00 EST 2004

NAME

Binomial transform gives a prime.

DATA

2, 1, 1, 3, 5, 1

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.

CROSSREFS

Cf. A090235.

KEYWORD

more,nonn

AUTHOR

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

STATUS

approved