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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
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. A000918 (smallest even number with bit sum n), A051885 (smallest number with digit sum n).
Cf. A077491.
Sequence in context: A303784 A278649 A084455 * A084461 A367811 A364188
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 March 29 05:43 EDT 2024. Contains 371264 sequences. (Running on oeis4.)