A059937 - OEIS

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A059937

Sum of binary numbers with n 1's and two (possibly leading) 0's.

0, 7, 45, 186, 630, 1905, 5355, 14308, 36828, 92115, 225225, 540606, 1277874, 2981797, 6881175, 15728520, 35651448, 80215911, 179306325, 398458690, 880803630, 1937768217, 4244635395, 9261022956, 20132658900, 43620761275 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`a(n) =(2^(n+2)-1)n(n+1)/2 =A059672(n)+A059938(n) =a(n-1)2(n+1)/(n-1)+n(n+1)/2`
	EXAMPLE	`a(2)=45 since binary sum of 1100 + 1010 + 1001 + 0110 + 0101 + 0011 is 12 + 10 + 9 + 6 + 5 + 3=45.`
	CROSSREFS	`Cf. A059672, A059673, A059938.` `Sequence in context: A153492 A107125 A197369 * A198629 A190973 A099842` `Adjacent sequences: A059934 A059935 A059936 * A059938 A059939 A059940`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Feb 13 2001`

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Last modified February 14 22:00 EST 2012. Contains 205667 sequences.