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A004514 Generalized nim sum n + n in base 4. 4
0, 2, 0, 2, 8, 10, 8, 10, 0, 2, 0, 2, 8, 10, 8, 10, 32, 34, 32, 34, 40, 42, 40, 42, 32, 34, 32, 34, 40, 42, 40, 42, 0, 2, 0, 2, 8, 10, 8, 10, 0, 2, 0, 2, 8, 10, 8, 10, 32, 34, 32, 34, 40, 42, 40, 42, 32, 34, 32, 34, 40, 42, 40, 42, 128, 130, 128, 130, 136, 138, 136, 138, 128 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Index entries for sequences related to Nim-sums

FORMULA

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

a(n) = 2*(n-a(floor(n/2))). a(n) = 2*A063694(n). - Vladeta Jovovic, Feb 23 2003

Equals A088442 - 1. - Chris Groer (cgroer(AT)math.uga.edu), Nov 10, 2003

a(n) = n + A053985(n). - Reinhard Zumkeller, Dec 27 2003

a(n) = A063695(2*n+1). - Reinhard Zumkeller, Sep 26 2015

PROG

(Haskell)

a004514 = a063695 . (+ 1) . (* 2)  -- Reinhard Zumkeller, Sep 26 2015

CROSSREFS

Cf. A053985, A063694, A063695, A088442.

Sequence in context: A029593 A196504 A182550 * A278748 A342286 A211930

Adjacent sequences:  A004511 A004512 A004513 * A004515 A004516 A004517

KEYWORD

base,nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Reinhard Zumkeller, Dec 27 2003

STATUS

approved

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Last modified December 2 22:46 EST 2021. Contains 349445 sequences. (Running on oeis4.)