cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A076074 Initial members of groups in A076077.

Original entry on oeis.org

2, 1, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277
Offset: 1

Views

Author

Amarnath Murthy, Oct 05 2002

Keywords

Comments

Is this the same sequence as A075643? - Andrew S. Plewe, Apr 30 2007

Crossrefs

Cf. A064555. [From R. J. Mathar, Dec 15 2008]

Extensions

More terms from David Wasserman, Mar 24 2005

A076076 Primes associated with groups in A076077.

Original entry on oeis.org

2, 5, 17, 43, 79, 139, 197, 311, 433, 601, 823, 983, 1423, 1759, 2069, 2423, 3217, 3467, 4289, 4889, 5813, 6737, 7529, 8543, 9857, 11027, 12203, 13729, 15541, 17183, 18869, 21059, 22861, 25111, 27481, 29863, 32579, 35053, 38569, 41609, 44623, 47807
Offset: 1

Views

Author

Amarnath Murthy, Oct 05 2002

Keywords

Crossrefs

Extensions

More terms from David Wasserman, Mar 24 2005

A076077 Group the natural numbers so that the n-th group contains n numbers, the k-th number in a group is a multiple of k and the sum of the group is prime: (2), (1, 4), (3, 8, 6), (5, 10, 12, 16), (7, 14, 9, 24, 25), ...

Original entry on oeis.org

2, 1, 4, 3, 8, 6, 5, 10, 12, 16, 7, 14, 9, 24, 25, 11, 18, 15, 20, 45, 30, 13, 22, 21, 28, 35, 36, 42, 17, 26, 27, 32, 40, 48, 49, 72, 19, 34, 33, 44, 50, 54, 56, 80, 63, 23, 38, 39, 52, 55, 60, 70, 64, 90, 110, 29, 46, 51, 68, 65, 66, 77, 88, 81, 120, 132, 31, 58, 57, 76, 75
Offset: 1

Views

Author

Amarnath Murthy, Oct 05 2002

Keywords

Comments

For 1 <= k <= n-2, T(n, k) is the smallest multiple of k not already used. T(n, n-1) must be chosen so that T(n, 1)+...+T(n, n-1) is relatively prime to n. - David Wasserman, Mar 24 2005

Examples

			  2,
  1,  4,
  3,  8,  6,
  5, 10, 12, 16,
  7, 14,  9, 24, 25,
 11, 18, 15, 20, 45, 30,
 13, 22, 21, 28, 35, 36, 42,
 17, 26, 27, 32, 40, 48, 49, 72,
 19, 34, 33, 44, 50, 54, 56, 80, 63,
 23, 38, 39, 52, 55, 60, 70, 64, 90,110,
 29, 46, 51, 68, 65, 66, 77, 88, 81,120,132,
		

Crossrefs

Cf. A076074 (first column), A076075 (diagonal), A076076 (row sums).

Programs

  • Maple
    A076077 := proc(n,k)
        option remember ;
        local a,prev,nprev,kprev,psum;
        for a from k by k do
            prev := false ;
            for nprev from 1 to n-1 do
                for kprev from 1 to nprev do
                    if procname(nprev,kprev) = a then
                        prev := true ;
                    end if;
                end do:
            end do:
            psum :=0 ;
            for kprev from 1 to k-1 do
                psum := psum+procname(n,kprev) ;
                if procname(n,kprev) = a then
                    prev := true ;
                end if;
            end do:
            if not prev then
                if k = n-1 then
                    if igcd(a + psum,n) = 1 then
                        return a;
                    end if;
                elif k = n then
                    if isprime(a + psum) then
                        return a;
                    end if;
                else
                    return a;
                end if;
            end if;
        end do:
    end proc: # R. J. Mathar, Jul 08 2025

Extensions

More terms from David Wasserman, Mar 24 2005
Showing 1-3 of 3 results.