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Search: id:A084150
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| A084150 |
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A Pell related sequence. |
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+0
3
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| 0, 0, 1, 3, 14, 50, 199, 749, 2892, 11028, 42301, 161799, 619706, 2372006, 9081955, 34767953, 133109592, 509594856, 1950956857, 7469077707, 28594853414, 109473250778, 419110475455, 1604533706357, 6142840740900, 23517417426300
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Binomial transform of expansion of (sinh(sqrt(2)x))^2/4=(0,0,1,0,8,0,64,..). Inverse binomial transform of A006668.
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FORMULA
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a(n)=((1+sqrt(8))^n+(1-sqrt(8))^n-2)/16; E.g.f. : exp(x)(sinh(sqrt(2)x))^2/4.
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CROSSREFS
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Cf. A006646.
Adjacent sequences: A084147 A084148 A084149 this_sequence A084151 A084152 A084153
Sequence in context: A139263 A063025 A098521 this_sequence A056076 A117133 A083874
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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), May 16 2003
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