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!)
A109400 For all k: the first k numbers followed by the first k primes. 3
1, 2, 1, 2, 2, 3, 1, 2, 3, 2, 3, 5, 1, 2, 3, 4, 2, 3, 5, 7, 1, 2, 3, 4, 5, 2, 3, 5, 7, 11, 1, 2, 3, 4, 5, 6, 2, 3, 5, 7, 11, 13, 1, 2, 3, 4, 5, 6, 7, 2, 3, 5, 7, 11, 13, 17, 1, 2, 3, 4, 5, 6, 7, 8, 2, 3, 5, 7, 11, 13, 17, 19, 1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 5, 7, 11, 13, 17, 19, 23 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(k*(k-1) + m) = a(A002378(k-1) + m) = m for 1<=m<=k;

a(k^2 + m) = a(A000290(k) + m) = A000040(m) for 1<=m<=k;

see A109401 for number of primes and A109402 for partial sums.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

EXAMPLE

1, 2; 1 2, 2 3; 1 2 3, 2 3 5; 1 2 3 4, 2 3 5 7; 1 2 ...

MATHEMATICA

With[{prs=Prime[Range[20]]}, Flatten[Table[{Range[n], Take[prs, n]}, {n, 10}]]] (* Harvey P. Dale, Dec 08 2011 *)

PROG

(Haskell)

a109400 n = a109400_list !! (n-1)

a109400_list = concat $ zipWith (++) a002260_tabl a037126_tabl

-- Reinhard Zumkeller, Jun 23 2015, Dec 11 2011

CROSSREFS

Cf. A002260, A037126, A082500, A000040.

Sequence in context: A054717 A086421 A290399 * A333831 A202389 A210868

Adjacent sequences: A109397 A109398 A109399 * A109401 A109402 A109403

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jun 27 2005

STATUS

approved

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 February 6 01:28 EST 2023. Contains 360091 sequences. (Running on oeis4.)