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Search: id:A110204
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| A110204 |
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a(n) = sum of squares of numbers < 2^n having exactly 4 ones in their binary representation. |
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+0
5
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| 0, 0, 0, 225, 3224, 29274, 215900, 1412275, 8541876, 48876212, 268288008, 1425694725, 7381073920, 37399844174, 186110137668, 911952794935, 4409472232060, 21073909951080, 99688911645264, 467292120940425
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Equals column 4 of triangle A110200.
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FORMULA
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G.f.: x^4*(225-2626*x+12500*x^2-30872*x^3+41536*x^4-28928*x^5+8192*x^6)/ ((1-x)^4*(1-2*x)^3*(1-4*x)^4).
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PROGRAM
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(PARI) {a(n)=polcoeff(x^4*(225-2626*x+12500*x^2-30872*x^3+41536*x^4-28928*x^5+8192*x^6)\ / ((1-x)^4*(1-2*x)^3*(1-4*x)^4+x*O(x^n)), n)}
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CROSSREFS
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Cf. A110200 (triangle), A110201 (central terms), A002450 (column 1), A110202 (column 2), A110203 (column 3).
Sequence in context: A105925 A014771 A134741 this_sequence A167035 A167042 A164763
Adjacent sequences: A110201 A110202 A110203 this_sequence A110205 A110206 A110207
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jul 16 2005
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