login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A083164 Rearrangement of natural numbers such that n divides sum of the terms with index which are the divisors of n. 3
1, 3, 2, 4, 9, 6, 13, 8, 15, 7, 10, 20, 12, 11, 18, 16, 33, 27, 37, 36, 5, 30, 22, 28, 40, 62, 63, 24, 57, 14, 61, 32, 53, 31, 47, 66, 73, 35, 102, 52, 81, 43, 42, 84, 45, 112, 46, 56, 133, 90, 117, 74, 105, 99, 145, 48, 17, 55, 58, 60, 121, 59, 153, 64, 108, 93, 200, 132 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) = (smallest multiple larger than the sum of the terms with index which are the divisors (<n) of n) - (The sum of the terms with index which are the divisors ( <n ) of n) if the resulting number is not already included, else go for the next larger multiple.

LINKS

Paul Tek, Table of n, a(n) for n = 1..10000

EXAMPLE

9 divides a(1) + a(3) + a(9) = 1 + 2 + 15 = 18.

PROG

(PARI) A = vector(105); used = vector(400); for (n = 1, 105, d = divisors(n); c = numdiv(n); s = 0; for (i = 1, c - 1, s += A[d[i]]); x = n - s%n; while (used[x], x += n); A[n] = x; used[x] = 1; write("a083165.txt", (x + s)/n)); write("a083164.txt", A)

CROSSREFS

Cf. A083165, A083166.

Sequence in context: A265355 A265354 A265356 * A094962 A084793 A033820

Adjacent sequences:  A083161 A083162 A083163 * A083165 A083166 A083167

KEYWORD

nonn,look

AUTHOR

Amarnath Murthy, Apr 25 2003

EXTENSIONS

More terms from David Wasserman, Oct 22 2004

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 26 10:18 EDT 2019. Contains 321491 sequences. (Running on oeis4.)