The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A049843 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A049843

Triangular array T read by rows: T(n,k)=number of nonzero remainders when Euclidean algorithm acts on primes prime(n) and prime(k), k=1,2,...,n-1; n=2,3,4,...
(history; published version)

#11 by Michael De Vlieger at Wed Jul 31 09:08:30 EDT 2024

STATUS

reviewed

approved

#10 by Amiram Eldar at Wed Jul 31 08:54:46 EDT 2024

STATUS

proposed

reviewed

#9 by Michel Marcus at Wed Jul 31 04:35:31 EDT 2024

STATUS

editing

proposed

#8 by Michel Marcus at Wed Jul 31 04:35:23 EDT 2024

EXAMPLE

Triangle begins:

{1};

{1,2};

Rows: {1}; {1,2}; {1,1,2}; ...

...

Example: T(4,3)=2 since remainders for 7=pprime(4) and 5=pprime(3) are 2,1,0; to wit, 7=1*5+2, 5=2*2+1, 2=2*1+0.

#7 by Michel Marcus at Wed Jul 31 04:34:31 EDT 2024

NAME

Triangular array T read by rows: T(n,k)=number of nonzero remainders when Euclidean algorithm acts on primes pprime(n) and pprime(k), k=1,2,...,n-1; n=2,3,4,...

CROSSREFS

Cf. A049816.

STATUS

approved

editing

#6 by Russ Cox at Fri Mar 30 18:56:59 EDT 2012

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

Clark Kimberling

Discussion

Fri Mar 30

18:56

OEIS Server: https://oeis.org/edit/global/285

#5 by N. J. A. Sloane at Wed Sep 22 03:00:00 EDT 2004

NAME

Triangular array T read by rows: T(n,k)=number of nonzero remainders when Euclidean algorithm acts on primes p(n) and p(k), k=1,2,...,n-1; n=2,3,4,...

KEYWORD

nonn,tabl,new

#4 by N. J. A. Sloane at Sat Sep 13 03:00:00 EDT 2003

KEYWORD

nonn,tabl,new

AUTHOR

Clark Kimberling, (ck6(AT)evansville.edu)

#3 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

KEYWORD

nonn,tabl,new

AUTHOR

Clark Kimberling, ck6@cedar.(AT)evansville.edu

#2 by N. J. A. Sloane at Mon May 08 03:00:00 EDT 2000

NAME

Array Triangular array T by rows: T(n,k)=number of nonzero remainders when Euclidean algorithm acts on primes p(n) and p(k), k=1,2,...,n-1; n=2,3,4,...

KEYWORD

nonn,tabl,new