A077491 -id:A077491 - cp's OEIS frontend

A069532 Smallest even number with digit sum n.

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

Offset: 1

Amarnath Murthy, Apr 01 2002

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).

Cf. A069521 to A069530.
Cf. A000918 (smallest even number with bit sum n), A051885 (smallest number with digit sum n).
Cf. A077491.

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

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

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

More terms from Ray Chandler, Jul 28 2003

cp's OEIS Frontend

A088401 Duplicate of A077491.

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A069532 Smallest even number with digit sum n.

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