A259849 Average of consecutive pairs of perfect numbers.

17, 262, 4312, 16779232, 4311709696, 73014280192, 1152921572789321728, 1329227995784915873480267812046897152, 95780971304118054976624684827067691392844968751005696

Offset: 1

Author

José de Jesús Camacho Medina, Aug 17 2015

Keywords

• nonn

Comments

Assuming that no odd perfect number exists.

Examples

			a(1) = (6 + 28)/2 = 17.
		

Crossrefs

Cf. A000396.

Programs

Maple

perf:= n -> numtheory:-mersenne([n])*(numtheory:-mersenne([n])+1)/2:
seq((perf(n)+perf(n+1))/2, n=1..15); # Robert Israel, Aug 20 2015

Formula

a(n) = (A000396(n)+A000396(n+1))/2, assuming there are no odd perfect numbers.