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 A109733 Sequence is its own base-10 ASCII representation. 3
 53, 51, 53, 49, 53, 51, 52, 57, 53, 51, 53, 49, 53, 50, 53, 55, 53, 51, 53, 49, 53, 51, 52, 57, 53, 51, 53, 48, 53, 51, 53, 53, 53, 51, 53, 49, 53, 51, 52, 57, 53, 51, 53, 49, 53, 50, 53, 55, 53, 51, 53, 49, 53, 51, 52, 56, 53, 51, 53, 49, 53, 51, 53, 51, 53, 51, 53, 49, 53 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Out of the digits 0,1,...,9, 5 is the only one whose ASCII representation, converted to base 10, begins with itself. So this sequence is the unique one with this property. - N. J. A. Sloane, Aug 25 2015 The octal version of this idea is simply 66,66,66,66,.., not interesting. LINKS David W. Wilson, Table of n, a(n) for n = 1..10000 FORMULA I conjecture that a(n) = 53 when n is congruent to 1, 3 or 5 (mod 8) and a(n) = 51 when n is congruent to 2 (mod 8). - Jonathan Cross (jcross(AT)juggler.net), Oct 14 2005 a(n) = (if valuation(n/2^v + 1, 2) mod 5 = 3 then 56 else 57) - 2*((v-3) mod 5), where v = valuation(n,2), i.e., n = (2s+1)*2^v. (Translation of my PARI code from June 2011.) - M. F. Hasler, Feb 02 2016 EXAMPLE We use the following table, giving digit d, ASCII equivalent in base 8, ASCII equivalent in base 10:   .0..1..2..3..4..5..6..7..8..9   60 61 62 63 64 65 66 67 70 71   48 49 50 51 52 53 54 55 56 57 We must start with 5 (see comment above), so the sequence grows like this:   5   53   53 51   53 51 53 49   53 51 53 49 53 51 52 57   ... PROG (PARI) a(n) = (valuation(1+n>>n=valuation(n, 2), 2)%5!=3)+56-(n-3)%5*2  \\ M. F. Hasler, Jun 20 2011 CROSSREFS See A109648 for another version. Sequence in context: A104936 A262908 A109648 * A094462 A232125 A343794 Adjacent sequences:  A109730 A109731 A109732 * A109734 A109735 A109736 KEYWORD easy,nonn,base AUTHOR N. J. A. Sloane and Nadia Heninger, Aug 10 2005 EXTENSIONS More terms from Jonathan Cross (jcross(AT)juggler.net), Oct 14 2005 STATUS approved

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Last modified May 9 04:56 EDT 2021. Contains 343687 sequences. (Running on oeis4.)