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 A111132 a(n+1) = a(n) + [a(n) - a(n-1) + a(n) mod 10] mod 10 with a(0)=0 and a(1)=1. 0
 1, 3, 8, 11, 15, 24, 27, 27, 34, 35, 41, 48, 53, 61, 70, 79, 87, 92, 99, 105, 106, 113, 113, 116, 125, 129, 132, 137, 139, 140, 141, 143, 148, 151, 155, 164, 167, 167, 174, 175, 181, 188, 193, 201, 210, 219, 227, 232, 239, 245, 246, 253, 253, 256, 265, 269, 272 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Similar to A111072 but moving right by a(n). LINKS EXAMPLE Write the sequence of natural number 0123456789 and repeat it infinite times. Then starting from the first "one" on the left side move right one number (on number 2) then make the sum 1+2=3. Now move right 3 (the result of the previous sum). We are on number 5; then make the sum 3+5=8. Repeating the process we get 1, 3, 8, 11, 15, 24, 27, 27, 34,.... MAPLE ANM:=proc(N) global anplus1, anminus1; local an, i, anpolus; anminus1:=0; an:=1; print (an); for i from 2 by 1 to N do anplus1:=an+((an-anminus1+ an mod 10) mod 10); print(anplus1); anminus1:=an; an:=anplus1; od; end: ANM(100); MATHEMATICA nxt[{a_, b_}]:={b, b+Mod[b-a+Mod[b, 10], 10]}; NestList[nxt, {0, 1}, 60][[All, 1]] (* Harvey P. Dale, Nov 22 2018 *) CROSSREFS Cf. A111072,  A111093. Sequence in context: A310282 A081858 A145837 * A188473 A003234 A047470 Adjacent sequences:  A111129 A111130 A111131 * A111133 A111134 A111135 KEYWORD easy,nonn AUTHOR Giorgio Balzarotti and Paolo P. Lava, Oct 17 2005, corrected Sep 29 2006 STATUS approved

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Last modified August 7 09:16 EDT 2020. Contains 336274 sequences. (Running on oeis4.)