A271492 Arises in enumeration of locally convex functions.

1, 5, 21, 70, 214, 575, 1475, 3500, 7989, 17398, 36719, 74744, 148728, 287857, 545921, 1013777, 1851002, 3319946, 5870355, 10225924, 17591720, 29883756, 50205820, 83417989, 137264233, 223679849, 361319673, 578646237, 919417837, 1449568462, 2269188103, 3527379944, 5447572344, 8359577713

Offset

0,2

Comments

See Coscia-DeWitt (2016) for precise definition.

Links

Gheorghe Coserea, Table of n, a(n) for n = 0..10000

Christopher Coscia, Jonathan DeWitt, Locally Convex Words and Permutations, Electronic Journal of Combinatorics. 23 (2), 2016, #P2.10.

Prog

(PARI)
cumsum(v) = for(k = 2, #v, v[k] += v[k-1]); v;
sqrv(v) = vector(#v, k, sqr(v[k]));
seq(n) = cumsum(sqrv(cumsum(vector(n, k, numbpart(k-1)))));
seq(30)  \\ Gheorghe Coserea, Apr 19 2016

Crossrefs

Cf. A000041, A271491, A271493.

Sequence in context: A296720 A099899 A269566 * A202462 A354701 A380285

Adjacent sequences: A271489 A271490 A271491 * A271493 A271494 A271495

Keyword

nonn

Author

N. J. A. Sloane, Apr 15 2016

Extensions

More terms from Gheorghe Coserea, Apr 19 2016

Status

approved