A089918 (n+1)*a(n) equals the (n+1)-th term of the n-th binomial transform of this sequence.

1, 1, 4, 30, 344, 5470, 113892, 2988426, 96098256, 3706301286, 168494060060, 8900937960706, 539861090952504, 37212541117261614, 2889625585310057076, 250853703625289217690, 24183224498531542003616

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Example

Note the diagonal {(n+1)*a(n)} in array of iterated binomial transforms of this sequence:
[1, 1, 4, 30, 344, 5470, 113892, 2988426,..]
[1,_2, 7, 46, 493, 7536, 152539, 3913722,..]
[1, 3,_12, 74, 728, 10542, 206188, 5158778,..]
[1, 4, 19,_120, 1109, 15058, 282039, 6851820,..]
[1, 5, 28, 190,_1720, 22014, 391732, 9185754,..]
[1, 6, 39, 290, 2669,_32820, 553867, 12457646,..]
[1, 7, 52, 426, 4088, 49486,_797244, 17128362,..]
[1, 8, 67, 604, 6133, 74742, 1164823,_23907408,..]

Crossrefs

Sequence in context: A209440 A052316 A379936 * A371041 A132622 A218296

Adjacent sequences: A089915 A089916 A089917 * A089919 A089920 A089921

Keyword

nonn

Author

Paul D. Hanna, Nov 14 2003

Status

approved