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A051444 Smallest k such that sigma(k) = n, or 0 if there is no such k, where sigma(i) = A000203(i) = sum of divisors of i. 14
1, 0, 2, 3, 0, 5, 4, 7, 0, 0, 0, 6, 9, 13, 8, 0, 0, 10, 0, 19, 0, 0, 0, 14, 0, 0, 0, 12, 0, 29, 16, 21, 0, 0, 0, 22, 0, 37, 18, 27, 0, 20, 0, 43, 0, 0, 0, 33, 0, 0, 0, 0, 0, 34, 0, 28, 49, 0, 0, 24, 0, 61, 32, 0, 0, 0, 0, 67, 0, 0, 0, 30, 0, 73, 0, 0, 0, 45, 0, 57, 0, 0, 0, 44, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

REFERENCES

R. K. Guy, Unsolved Problems Theory of Numbers, B1.

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000

EXAMPLE

sigma(4)=7, 4 is the smallest, so a(7)=4.

MATHEMATICA

Do[ k = 1; While[ DivisorSigma[ 1, k ] != n && k < 10^4, k++ ]; If[ k != 10^4, Print[ k ], Print[ 0 ] ], {n, 1, 100} ]

CROSSREFS

Cf. A002192, A000203, A007626.

Sequence in context: A080367 A066913 A090303 * A057637 A167485 A140508

Adjacent sequences:  A051441 A051442 A051443 * A051445 A051446 A051447

KEYWORD

nonn,easy,nice

AUTHOR

Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu)

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.