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A004497 Tersum n + 8. 0
8, 6, 7, 2, 0, 1, 5, 3, 4, 17, 15, 16, 11, 9, 10, 14, 12, 13, 26, 24, 25, 20, 18, 19, 23, 21, 22, 35, 33, 34, 29, 27, 28, 32, 30, 31, 44, 42, 43, 38, 36, 37, 41, 39, 40, 53, 51, 52, 47, 45, 46, 50, 48, 49, 62, 60, 61, 56 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..57.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,1,-1).

FORMULA

Tersum m + n: write m and n in base 3 and add mod 3 with no carries, e.g. 5 + 8 = "21" + "22" = "10" = 1.

a(n)= -5 + Sum_{k=0..n} (1/36)*(-47*(k mod 9) - 11*((k+1) mod 9) + 25*((k+2) mod 9) - 11*((k+3) mod 9) - 11*((k+4) mod 9) - 11*((k+5) mod 9) + 25*((k+6) mod 9) - 11*((k+7) mod 9) + 61*((k+8) mod 9)), with n>=0. - Paolo P. Lava, Dec 03 2007

MATHEMATICA

LinearRecurrence[{1, 0, 0, 0, 0, 0, 0, 0, 1, -1}, {8, 6, 7, 2, 0, 1, 5, 3, 4, 17}, 80] (* Jinyuan Wang, Mar 10 2020 *)

CROSSREFS

Sequence in context: A199873 A300503 A153791 * A091899 A292829 A182369

Adjacent sequences:  A004494 A004495 A004496 * A004498 A004499 A004500

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 29 05:09 EST 2022. Contains 350672 sequences. (Running on oeis4.)