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1, 2, 3, 5, 7, 9, 13, 17, 21, 29, 37, 45, 61, 77, 93, 125, 157, 189, 253, 317, 381, 509, 637, 765, 1021, 1277, 1533, 2045, 2557, 3069, 4093, 5117, 6141, 8189, 10237, 12285, 16381, 20477, 24573, 32765, 40957, 49149, 65533, 81917, 98301, 131069, 163837, 196605
(list;
graph;
refs;
listen;
history;
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internal format)
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OFFSET
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1,2
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COMMENTS
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Partial sums of powers of 2 repeated 3 times.
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LINKS
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Table of n, a(n) for n=1..48.
Shatalov A. A, The Cupola Algorithm Data And The Modulation-37 The Natural Sciences Aspect And The Using For Analysis Of Ancient Layouts, European Journal Of Natural History, 2007 No. 1, p. 35.
Index to sequences with linear recurrences with constant coefficients, signature (1,0,2,-2).
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FORMULA
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G.f. x*(1+x+x^2) / ( (x-1)*(2*x^3-1) ). - R. J. Mathar, Nov 28 2011
a(3*n) = 3*(2^n-1) = 3*A000225(n). - Philippe Deléham, Mar 13 2013
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EXAMPLE
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a(4) = 1+1+1+2 = 5.
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PROG
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BASIC for i=0 to 12 : for j=1 to 3 : s=s+2^i : print s : next j : next i
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CROSSREFS
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Cf. A027383, A173862.
Sequence in context: A032459 A028870 A057886 * A069999 A035563 A216374
Adjacent sequences: A200669 A200670 A200671 * A200673 A200674 A200675
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KEYWORD
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nonn
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AUTHOR
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Jeremy Gardiner, Nov 20 2011
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STATUS
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approved
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