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 A049000 Sum of sigma(j) for 1<=j<10^n, where sigma(j) is the sum of divisors of j. 4
 0, 69, 8082, 820741, 82231803, 8224494757, 822465638000, 82246686892516, 8224670172682646, 822467031614802290, 82246703327412473943, 8224670334073621455209, 822467033422857645316807, 82246703342395510922780776, 8224670334240978188556405240 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The ratio of successive terms approaches 100. LINKS Amiram Eldar, Table of n, a(n) for n = 0..36 (calculated from the b-file at A072692) FORMULA a(n) = A072692(n) - A046915(n) ~ Pi^2/12 * 10^(2*n). - Amiram Eldar, Feb 16 2020 EXAMPLE For n=1, the sum of sigma(j) for j<10 is 1+3+4+7+6+12+8+15+13=69, so a(1)=69. CROSSREFS Cf. A000203, A046915. Cf. A072691 (Pi^2/12). Cf. A072692 (sum for 1<=j<=10^n and other links). Sequence in context: A296785 A264171 A297550 * A234824 A232719 A297807 Adjacent sequences: A048997 A048998 A048999 * A049001 A049002 A049003 KEYWORD nonn AUTHOR EXTENSIONS One more term from Rick L. Shepherd, Jul 03 2002 More terms from Amiram Eldar, Feb 16 2020 STATUS approved

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Last modified December 3 20:52 EST 2022. Contains 358543 sequences. (Running on oeis4.)