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A061762 a(n) = (sum of digits of n) + (product of digits of n). 14
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 4, 9, 14, 19, 24, 29, 34, 39, 44, 49, 5, 11, 17, 23, 29, 35, 41, 47, 53, 59, 6, 13, 20, 27, 34, 41, 48, 55, 62, 69, 7, 15, 23, 31, 39, 47 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Fixed points a(m)=m are m = {0,19,29,39,49,59,69,79,89,99}. Is this list complete? - Zak Seidov, Aug 22 2007

REFERENCES

S. Parmeswaran, S+P numbers, Mathematics Informatics Quarterly, Vol. 9, No. 3 Sep. 1999, Bulgaria.

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = A007953(n) + A007954(n).

EXAMPLE

a(14) = 1+4 + 1*4 = 9.

MAPLE

read("transforms") :

A061762 := proc(n)

    digsum(n)+A007954(n) ;

end proc: # R. J. Mathar, Aug 13 2012

MATHEMATICA

Table[Plus @@ IntegerDigits[n] + Times @@ IntegerDigits[n], {n, 0, 75}] (* Jayanta Basu, Apr 05 2013 *)

PROG

(PARI) SumD(x)= { s=0; while (x>9, s=s+x-10*(x\10); x=x\10); return(s + x) } ProdD(x)= { p=1; while (x>9, p=p*(x-10*(x\10)); x=x\10); return(p*x) } { for (n=0, 1000, write("b061762.txt", n, " ", SumD(n) + ProdD(n)) ) } \\ Harry J. Smith, Jul 27 2009

CROSSREFS

Cf. A007953, A007954.

Cf. A061763, A038366, A074871.

See A130858 for the smallest inverse.

Sequence in context: A088133 A115299 A076312 * A136614 A245627 A097586

Adjacent sequences:  A061759 A061760 A061761 * A061763 A061764 A061765

KEYWORD

nonn,base,easy

AUTHOR

Amarnath Murthy, May 20 2001

EXTENSIONS

Corrected and extended by Larry Reeves (larryr(AT)acm.org) and Matthew Conroy, May 23 2001

STATUS

approved

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Last modified March 29 15:10 EDT 2017. Contains 284273 sequences.