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Search: id:A101622
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| A101622 |
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A Horadam-Jacobsthal sequence. |
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+0
5
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| 0, 1, 6, 13, 30, 61, 126, 253, 510, 1021, 2046, 4093, 8190, 16381, 32766, 65533, 131070, 262141, 524286, 1048573, 2097150, 4194301, 8388606, 16777213, 33554430, 67108861, 134217726, 268435453, 536870910, 1073741821, 2147483646
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Companion sequence to A084639.
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REFERENCES
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A. F. Horadam, Jacobsthal Representation Numbers, Fib. Quart. 34, 40-54, 1996.
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FORMULA
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G.f.: x(1+4x)/((1-x)(1+x)(1-2x)); a(n)=(2^(n+2)+(-1)^n-5)/2; a(n)=(A014551(n+2)-5)/2.
(1, 6, 13, 30, 61,...) = row sums of triangle A131953. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 31 2007
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CROSSREFS
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Cf. A131953.
Sequence in context: A016071 A086652 A145976 this_sequence A147330 A042607 A084381
Adjacent sequences: A101619 A101620 A101621 this_sequence A101623 A101624 A101625
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Dec 10 2004
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