A341900 Partial sums of A005165.

0, 1, 2, 7, 26, 127, 746, 5167, 41066, 368047, 3669866, 40284847, 482671466, 6267305647, 87660962666, 1313941673647, 21010450850666, 357001369769647, 6423384156578666, 122002101778601647, 2439325392333218666, 51212944273488041647, 1126440053169940898666

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Formula

a(n)-a(n-1) = A005165(n).

a(n) = Sum_{i=0..floor((n-1)/2)} (n-2*i)!.

a(n) = A136580(n) - A059841(n).

D-finite with recurrence a(n) -n*a(n-1) -a(n-2) +n*a(n-3)=0.

a(n) = n! + a(n-2) for n >= 2. - Alois P. Heinz, Jun 04 2021

Crossrefs

Cf. A000142, A005165, A136580, A215096.

Sequence in context: A096803 A036757 A358493 * A300049 A209005 A361242

Adjacent sequences: A341897 A341898 A341899 * A341901 A341902 A341903

Keyword

nonn,easy

Author

R. J. Mathar, Jun 04 2021

Status

approved