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A089909
Sum of digits of numbers between 0 and (8/9)*(10^n-1).
5
0, 36, 748, 11460, 154572, 1945684, 23456796, 274567908, 3145679020, 35456790132, 394567901244, 4345679012356, 47456790123468, 514567901234580, 5545679012345692, 59456790123456804, 634567901234567916
OFFSET
0,2
COMMENTS
From a suggestion of Yalcin Aktar
FORMULA
a(n) = s(8, n-1) where s(a, k)=a*(k+1)+a^2*sum(i=0, k, i*10^(k-i))+sum(i=0, k, 5*a*(9*(k-i)+a- 1)*10^(k-i-1)).
a(n) = (4*(-11*(-1+10^n)+9*(2+9*10^n)*n))/81. G.f.: 4*x*(20*x^2-11*x+9) / ((x-1)^2*(10*x-1)^2). - Colin Barker, Jun 14 2013
KEYWORD
nonn,base,easy
AUTHOR
Benoit Cloitre, Nov 14 2003
STATUS
approved