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Search: id:A059251
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| A059251 |
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A sequence related to numeric partitions and Fermat Coefficients. |
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+0
1
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| 1, 1, 5, 15, 44, 99, 217, 429, 811, 1430, 2438, 3978, 6312, 9690, 14550, 21318, 30669, 43263, 60115, 82225, 111044, 148005, 195143, 254475, 328759, 420732, 534076, 672452, 840656, 1043460, 1287036, 1577532, 1922745, 2330445, 2810385, 3372291
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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The sequences m1^8, m2^4, and 6*m4^2 correspond to eight elements of a finite group of order eight belonging to the appropriate partition class.
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FORMULA
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Let m1^8 = A000580, m2^4 = 1 0 4 0 10 0 20 ... and let m4^2 = 1 0 0 0 2 0 0 0 3 0 0 0 4 ... Then a(n) = (1/8)*(m1^8 + m2^4 + 6*m4^2)
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EXAMPLE
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a(5)= 44 because (1/8)*( 330 + 10 + 12) = 352/8; a(9)= 811 because (1/8)*(6435 + 35 + 18) = 6488/8.
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CROSSREFS
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Cf. A000041, A000292, A000580, A000973, A058936.
Adjacent sequences: A059248 A059249 A059250 this_sequence A059252 A059253 A059254
Sequence in context: A005665 A025471 A064453 this_sequence A109952 A076103 A094283
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KEYWORD
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easy,nonn
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AUTHOR
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Alford Arnold (Alford1940(AT)AOL.com), Jan 22 2001
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jun 07 2002
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