A113756 -id:A113756 - cp's OEIS frontend

A055482 There exists some k>0 such that n is the product of (k + digits of n).

12, 18, 24, 35, 50, 56, 90, 120, 210, 315, 450, 780, 840, 1500, 3920, 4320, 4752, 7744, 16500, 24960, 57915, 59400, 60480, 91728, 269500, 493920, 917280, 1293600, 2419200, 3386880, 34992000, 266378112, 317447424, 1277337600, 3714984000, 14948388000, 48697248600, 460522782720, 896168448000

Offset: 1

Erich Friedman, Jun 27 2000

18 appears to be the only term with k=1, there are no other terms with k=1 as well as with k=3,8,9 below 10^100. - Max Alekseyev, Jan 25 2015

			4752 = (4+4)(4+7)(4+5)(4+2).

Giovanni Resta, Table of n, a(n) for n = 1..59 (terms < 10^38)

Cf. A055481, A113756

Subsequences: A098113 (k=2), A098114 (k=4), A097371 (k=5), A097372 (k=6), A115227 (k=7)

L={}; Do[Print@ n; Do[p = Reverse/@ IntegerPartitions[ k, {n}, Range[0, 9]]; Do[z = Times@@ (e + k); If[ Sort@ IntegerDigits@ z == e, Print[{z, k}]; AppendTo[L, z]], {k, 9}, {e, p}], {k, 9*n}],{n, 2, 13}]; Sort@ L (* terms < 10^13, Giovanni Resta, Jul 24 2015 *)

Offset corrected and more terms added by Max Alekseyev, Jan 23 2015

A115227 Numbers k such that k = (d_1+7)(d_2+7)...(d_m+7) where d_1 d_2 ... d_m is the decimal expansion of k.

Original entry on oeis.org

8314460009856000, 31746120037632000, 92632873013093597184000000, 1108240107492643314063114240000, 25425833233403394290952098021376000000000, 67839608823081187608930897100800000000000, 1064102035269050218905833606927320350720000000

Offset: 1

Giovanni Resta, Jan 16 2006

			a(1) = 8314460009856000 = (7+8)*(7+3)*(7+1)*...*(7+6)*(7+0)*(7+0)*(7+0).

Max Alekseyev, Table of n, a(n) for n = 1..18 (contains all terms below 10^100)
Jean-Marie De Koninck, Those Fascinating Numbers, Amer. Math. Soc., (2009), page 377.

Cf. A055482, A098113, A098114, A097371, A097372, A113756

a(6)-a(18) from Max Alekseyev, Jan 25 2015

cp's OEIS Frontend

A055482 There exists some k>0 such that n is the product of (k + digits of n).

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A115227 Numbers k such that k = (d_1+7)(d_2+7)...(d_m+7) where d_1 d_2 ... d_m is the decimal expansion of k.

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cp's OEIS Frontend

A055482 There exists some k>0 such that n is the product of (k + digits of n).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

Extensions

A115227 Numbers k such that k = (d_1+7)(d_2+7)*...*(d_m+7) where d_1 d_2 ... d_m is the decimal expansion of k.

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Author

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Extensions

A115227 Numbers k such that k = (d_1+7)(d_2+7)...(d_m+7) where d_1 d_2 ... d_m is the decimal expansion of k.