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A064536
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Mod[Mod[4^n,3^n],2^n].
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3
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1, 3, 2, 13, 20, 3, 51, 87, 121, 711, 1139, 3537, 8034, 15752, 27922, 49629, 33201, 35975, 143900, 136341, 545364, 2181456, 1060135, 4240540, 16962160, 28647197, 13597858, 205877827, 100616667, 381266393, 1397863922, 3825576990
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| A generalization of A002380. It arises also as a coefficient (=c1) of 1^n=1 in a special (greedy) decomposition of 4^n into like powers as follows: 4^n=c3*3^n+c2*2^n+c1*1^n.
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,200
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FORMULA
| n = 7: 4^7 = 16384 = 7*[2187] + 8*[128] + 51*[1] where a(7)=51, the last coefficient; A064630[7]=7+8+a(7)=66.
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PROG
| (PARI) { for (n=1, 200, write("b064536.txt", n, " ", (4^n % 3^n) % 2^n) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 17 2009]
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CROSSREFS
| Cf. A002380, A064853-A064855, A060692, A064628-A064631.
Sequence in context: A060149 A059374 A098384 * A163355 A145747 A055234
Adjacent sequences: A064533 A064534 A064535 * A064537 A064538 A064539
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Oct 08 2001
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