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A069532 Smallest even number with digit sum n. 20
10, 2, 12, 4, 14, 6, 16, 8, 18, 28, 38, 48, 58, 68, 78, 88, 98, 198, 298, 398, 498, 598, 698, 798, 898, 998, 1998, 2998, 3998, 4998, 5998, 6998, 7998, 8998, 9998, 19998, 29998, 39998, 49998, 59998, 69998, 79998, 89998, 99998, 199998, 299998, 399998, 499998 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..8999

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,10,-10).

FORMULA

From Chai Wah Wu, Sep 15 2020: (Start)

a(n) = a(n-1) + 10*a(n-9) - 10*a(n-10) for n > 17.

G.f.: 2*x*(45*x^16 - 45*x^15 + 45*x^14 - 45*x^13 + 45*x^12 - 45*x^11 + 45*x^10 - 45*x^9 + 5*x^8 - 4*x^7 + 5*x^6 - 4*x^5 + 5*x^4 - 4*x^3 + 5*x^2 - 4*x + 5)/((x - 1)*(10*x^9 - 1)). (End)

a(n) = 2 * A077491(n). - Alois P. Heinz, Sep 15 2020

MATHEMATICA

t={}; Do[i=2; While[Total[IntegerDigits[i]]!=n, i=i+2]; AppendTo[t, i], {n, 48}]; t (* Jayanta Basu, May 18 2013 *)

PROG

(PARI) a(n) = {my(k = 2); while(sumdigits(k) != n, k+=2); k; } \\ Michel Marcus, Mar 18 2016

CROSSREFS

Cf. A069521 to A069530.

Cf. A000918 (smallest even number with bit sum n), A051885 (smallest number with digit sum n).

Cf. A077491.

Sequence in context: A303784 A278649 A084455 * A084461 A326107 A005483

Adjacent sequences:  A069529 A069530 A069531 * A069533 A069534 A069535

KEYWORD

base,nonn,easy

AUTHOR

Amarnath Murthy, Apr 01 2002

EXTENSIONS

More terms from Ray Chandler, Jul 28 2003

STATUS

approved

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Last modified October 28 04:06 EDT 2020. Contains 338048 sequences. (Running on oeis4.)