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 A057137 Concatenate next digit at right hand end (where the next digit after 9 is again 0). 11
 0, 1, 12, 123, 1234, 12345, 123456, 1234567, 12345678, 123456789, 1234567890, 12345678901, 123456789012, 1234567890123, 12345678901234, 123456789012345, 1234567890123456, 12345678901234567, 123456789012345678 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Also called the triangle of the gods (see Pickover link). See A037610 for a general formula. - Hieronymus Fischer, Jan 03 2013 REFERENCES Clifford A. Pickover, A Passion for Mathematics, Wiley, 2005; see p. 61. LINKS T. D. Noe and Hieronymus Fischer, Table of n, a(n) for n = 0..200 (terms up to 100 from T. D. Noe) Clifford Pickover, Triangle of the Gods Index entries for linear recurrences with constant coefficients, signature (10,0,0,0,0,0,0,0,0,1,-10). FORMULA a(n) = 10*(a(n-1)-floor[n/10]) + n = floor[A057139(n)/10^(n-1)]. a(n) = 10*a(n-1) + (n mod 10). - Paolo P. Lava, Feb 01 2008 a(n) = floor((137174210/1111111111)*10^n). - Hieronymus Fischer, Jan 03 2013, corrected by M. F. Hasler, Jan 13 2013 MAPLE A057137:=n->floor((137174210/1111111111)*10^n); seq(A057137(n), n=0..20); # Wesley Ivan Hurt, Apr 18 2014 MATHEMATICA a[n_]:=Floor[137174210/1111111111*10^n]; Array[a, 19, 0] (* Robert G. Wilson v, Apr 18 2014 *) PROG (PARI) A057137(n)=sum(i=1, n, i%10*10^(n-i)) \\ M. F. Hasler, Jan 13 2013 (PARI) A057137(n)=137174210*10^n\1111111111 \\ M. F. Hasler, Jan 13 2013 CROSSREFS Alternative progression for n >= 10 compared with A007908 and A014824. Cf. A057138 for reverse. Cf. A010879 (decimal digits). For primes see A120819. Sequence in context: A037610 A035239 A344183 * A252043 A014824 A060555 Adjacent sequences: A057134 A057135 A057136 * A057138 A057139 A057140 KEYWORD base,easy,nonn AUTHOR Henry Bottomley, Aug 12 2000 STATUS approved

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Last modified October 4 16:05 EDT 2023. Contains 365887 sequences. (Running on oeis4.)