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A045759 Maris-McGwire numbers: numbers k such that f(k) = f(k+1), where f(k) = sum of digits of k + sum of digits of prime factors of k (including multiplicities). 3
7, 14, 43, 50, 61, 63, 67, 80, 84, 118, 122, 134, 137, 163, 196, 212, 213, 224, 241, 273, 274, 277, 279, 283, 351, 352, 373, 375, 390, 398, 421, 457, 462, 474, 475, 489, 495, 510, 516, 523, 526, 537, 547, 555, 558, 577, 584, 590, 592, 616, 638, 644, 660, 673, 687, 691 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

More information

EXAMPLE

(61,62) is such a pair, hence the name.

MATHEMATICA

ds[n_] := Plus @@ IntegerDigits[n]; f[n_] := ds[n] + Total[(fi = FactorInteger[n])[[;; , 2]] *( ds /@fi[[;; , 1]])]; s={}; f1 = 1; Do[f2=f[n]; If[f1 == f2, AppendTo[s, n-1]]; f1 = f2, {n, 2, 700}]; s (* Amiram Eldar, Nov 24 2019 *)

CROSSREFS

Cf. A006145 (Ruth-Aaron numbers), A039945.

Sequence in context: A189046 A098328 A062098 * A166637 A237686 A170918

Adjacent sequences:  A045756 A045757 A045758 * A045760 A045761 A045762

KEYWORD

nonn,base

AUTHOR

Mike Keith (domnei(AT)aol.com)

EXTENSIONS

Corrected and extended by David W. Wilson

Offset corrected by Amiram Eldar, Nov 24 2019

STATUS

approved

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Last modified May 27 21:49 EDT 2020. Contains 334671 sequences. (Running on oeis4.)