login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A253609 Array read by upwards antidiagonals: a(n,k) = index of prime(k)^n in A098550. 2

%I #7 Jan 08 2015 17:13:59

%S 2,4,3,6,5,9,14,19,11,15,29,57,94,40,22,65,171,483,269,124,23,137,549,

%T 2549,1996,1071,187,30,277,1786

%N Array read by upwards antidiagonals: a(n,k) = index of prime(k)^n in A098550.

%C Entry a(n,k), in row n and column k, is the index of the entry in A098550 such that A098550(a(n,k)) = prime(k)^n.

%C Conjecture: For all natural numbers i, j, k, prime(k)^i precedes prime(k)^(i+1) and prime(k)^j precedes prime(k+1)^j in A098550.

%e Table starts:

%e { 2, 3, 9, 15, 22, 23, 30, 43, 51, 61, ...}

%e { 4, 5, 11, 40, 124, 187, 273, 313, 505, 747, ...}

%e { 6, 19, 94, 269, 1071, 1810, 4142, 5856, ... }

%e { 14, 57, 483, 1996, ... }

%e { 29, 171, 2549, ... }

%e { 65, 549, ... }

%e {137, 1786, ... }

%Y Cf. A098550, A251239-A251240 (rows 1, 2), A251241\{1} = union A253609.

%K nonn,tabl,more

%O 1,1

%A _L. Edson Jeffery_, Jan 05 2015

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 23 07:42 EDT 2024. Contains 371905 sequences. (Running on oeis4.)